Deck 2: Graphs of Equations

Question 1

Determine which of the following point lies on the graph of the equation. $$y = \frac { 1 } { 3 } x ^ { 3 } - 3 x ^ { 2 }$$

A)(6,0)
B)(7,6)
C)(8,6)
D)(6,7)
E)(6,8)

Answer 1

(6,0)

Question 2

Determine which of the following point lies on the graph of the equation. $$y = \sqrt { x + 62 }$$

A)(2,10)
B)(2,9)
C)(2,8)
D)(9,8)
E)(3,8)

Answer 2

(2,8)

Question 3

Determine which of the following point lies on the graph of the equation.
Y = |x - 2| + 4

A)(5,7)
B)(5,9)
C)(5,8)
D)(8,7)
E)(6,7)

Answer 3

(5,7)

Question 4

Which of the following graphs are symmetric about the y-axis?

A) $y = x ^ { 7 } - x ^ { 6 } + 18$
B) $y = x ^ { 7 } - x ^ { 12 } + 18$
C) $y = x ^ { 9 } - x ^ { 7 } + 18$
D) $y = x ^ { 12 } - x ^ { 6 } + 18$
E) $y = x ^ { 9 } + x ^ { 7 } + 18$

Question 5

Determine which of the following point lies on the graph of the equation. $$x ^ { 2 } + y ^ { 2 } = 5$$

A)(3,1)
B)(2,3)
C)(4,1)
D)(2,1)
E)(2,2)

Question 6

Write the standard form of the equation of the circle with the given characteristics.
Center: (6,1);Solution point: (5,9)

A) $( x + 6 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 65$
B) $( x - 6 ) ^ { 2 } + ( y + 1 ) ^ { 2 } - 65 = 0$
C) $( x + 6 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + 65 = 0$
D) $( x - 6 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 65$
E) $( x - 1 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 65$

Question 7

A hospital purchases a new magnetic resonance imaging (MRI)machine for $600,000.The depreciated value y (reduced value)after t years is given by y = 600,000 - 20,000t,0 ≤ t ≤ 6.Sketch the graph of the equation.

A)
B)
C)
D)
E)

Question 8

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.
Y = |x - 4|

A)x- intercept: (4,0) y- intercept: (0,4)
No symmetry


B)x- intercept: (-4,0) y- intercept: (0,4)
No symmetry

C)x- intercept: (4,0) y- intercept: (4,0)
No symmetry

D)x- intercept: (4,0) y- intercept: (0,4)
No symmetry

E)x- intercept: (4,0) y- intercept: (4,0)
No symmetry

Question 9

Find the center and radius of the circle,and sketch its graph. $$x ^ { 2 } + y ^ { 2 } = 16$$

A)Centre (0,0),Radius 16
B)Centre (0,0),Radius 4
C)Centre (0,0),Radius 4
D)Centre (0,0),Radius 16
E)Centre (0,0),Radius 4

Question 10

Complete the table. $$y = \frac { 3 } { 4 } x - 1$$
$$\begin{array} { | c | c | c | c | c | c | } \hline x & - 12 & - 8 & 4 & 12 & 16 \\\hline y & & & & & \\\hline ( x , y ) & & & & & \\\hline\end{array}$$

A) $$\begin{array} { | c | c | c | c | c | c | } \hline x & - 12 & - 8 & 4 & 12 & 16 \\\hline y & - 10 & - 7 & 2 & 8 & 11 \\\hline ( x , y ) & ( - 10 , - 12 ) & ( - 7 , - 8 ) & ( 4,2 ) & ( 12,8 ) & ( 16,11 ) \\\hline\end{array}$$
B) $$\begin{array} { | c | c | c | c | c | c | } \hline x & - 12 & - 8 & 4 & 12 & 16 \\\hline y & - 10 & - 7 & 2 & 8 & 11 \\\hline ( x , y ) & ( - 12 , - 10 ) & ( - 8 , - 7 ) & ( 2,4 ) & ( 12,8 ) & ( 11,16 ) \\\hline\end{array}$$
C) $$\begin{array} { | c | c | c | c | c | c | } \hline x & - 12 & - 8 & 4 & 12 & 16 \\\hline y & - 10 & - 7 & 2 & 8 & 11 \\\hline ( x , y ) & ( - 12 , - 10 ) & ( - 7 , - 8 ) & ( 2,4 ) & ( 12,8 ) & ( 16,11 ) \\\hline\end{array}$$
D) $$\begin{array} { | c | c | c | c | c | c | } \hline x & - 12 & - 8 & 4 & 12 & 16 \\\hline y & - 10 & - 7 & 2 & 8 & 11 \\\hline ( x , y ) & ( - 12 , - 10 ) & ( - 8 , - 7 ) & ( 4,2 ) & ( 12,8 ) & ( 16,11 ) \\\hline\end{array}$$
E) $$\begin{array} { | c | c | c | c | c | c | } \hline x & - 12 & - 8 & 4 & 12 & 16 \\\hline y & - 10 & - 7 & 2 & 8 & 11 \\\hline ( x , y ) & ( - 12 , - 10 ) & ( - 8,2 ) & ( 4 , - 7 ) & ( 12,8 ) & ( 16,11 ) \\\hline\end{array}$$

Question 11

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.
Y = x² - 4x

A)x-intercept : (0,0), (4,0) y-intercept : (0,0)
No symmetry

B)x-intercept : (0,0), (-4,0) y-intercept : (0,1)
No symmetry
C)x-intercept : (4,0), (4,0) y-intercept : (0,1)
No symmetry

D)x-intercept : (0,0), (4,0) y-intercept : (0,1)
No symmetry

E)x-intercept : (0,0), (4,0) y-intercept : (0,-1)
No symmetry

Question 12

You purchase an all-terrain vehicle (ATV)for $2,000.The depreciated value y after t years is given by y = 2,000 – 500t, 0 ≤ t ≤ 6. .Sketch the graph of the equation.

A)
B)
C)
D)
E)

Question 13

Complete the table

-Use the resulting solution points to sketch the graph of the equation.
y = -2x + 3
$$\begin{array} { | c | c | c | c | c | c | } \hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\\hline y & & & & & \\\hline ( x , y ) & & & & & \\\hline\end{array}$$

A) $$\begin{array} { | c | c | c | c | c | c | } \hline \\ x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\\\\hline \\ y&5 & 3 & 1 & -5 & -6 \\\\\hline \\ (x, y)&(-1,5) & (0,3) & (1,1) & (4,-5) & \left(\frac{9}{2}, 9\right)\\\\\hline\end{array}$$

B) $$\begin{array} { | c | c | c | c | c | c | } \hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\\hline y & 5 & 3 & 1 & - 5 & - 6 \\\hline ( x , y ) & ( - 1 , 5 ) & ( 0,1 ) & ( 1,3 ) & ( 4 , - 5 ) & (\frac { 9 } { 2 },-6) \\\hline\end{array}$$

C) $$\begin{array} { | c | c | c | c | c | c | } \hline \\x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\\\\hline \\y & 5 & 3 & 1 & - 5 & - 6 \\\\\hline \\( x , y ) & ( 5 , - 1 ) & ( 3,0 ) & ( 1,1 ) & ( 4 , - 5 ) & \left( \frac { 9 } { 2 } , - 6 \right) \\\\\hline\end{array}$$

D) $$\begin{array} { | c | c | c | c | c | c | } \hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\\hline y & 5 & 3 & 1 & - 5 & -6 \\\hline ( x , y ) & ( - 1,5 ) & ( 3,0 ) & ( 1,1 ) & ( 4 , - 5 ) & (\frac{9}{2} ,- 6 ) \\\hline\end{array}$$

E) $$\begin{array} { | c | c | c | c | c | c | } \hline x & - 1 & 0 & 1 & 4 & \frac { 9 } { 2 } \\\hline y & 5 & 3 & 1 & - 5 & - 6 \\\hline ( x , y ) & ( - 1,5 ) & ( 0,3 ) & ( 1,1 ) & ( 4 , - 5 ) & \left. (\frac { 9 } { 2 } , - 6 \right) \\\hline\end{array}$$

Question 14

Find the center and radius of the circle,and sketch its graph. $$\left( x - \frac { 1 } { 2 } \right) ^ { 2 } + \left( y - \frac { 1 } { 2 } \right) ^ { 2 } = \frac { 49 } { 4 }$$

A)Centre $$\left( \frac { 1 } { 2 } , \frac { 1 } { 2 } \right)$$ ,Radius $\frac { 49 } { 4 }$
B)Centre $\left( \frac { 1 } { 2 } , \frac { 1 } { 2 } \right)$ ,Radius $\frac { 49 } { 4 }$
C)Centre $\left( \frac { 1 } { 2 } , \frac { 1 } { 2 } \right)$ ,Radius $\frac { 7 } { 2 }$
D)Centre $\left( - \frac { 1 } { 2 } , - \frac { 1 } { 2 } \right)$ ,Radius $\frac { 7 } { 4 }$
E)Centre $\left( \frac { 1 } { 2 } , \frac { 1 } { 2 } \right)$ ,Radius $\frac { 7 } { 2 }$

Question 15

The resistance y (in ohms)of 1,000 feet of solid copper wire at 68 degrees Fahrenheit can be approximated by the model $$y = \frac { 10,770 } { x ^ { 2 } } - 0.37 , \quad 5 \leq x \leq 100$$ where x is the diameter of the wire in mils (0.001 inch). Complete the table.
$$\begin{array} { | l | l | l | l | l | l | } \hline x & 15 & 45 & 55 & 70 & 75 \\\hline y & & & & & \\\hline\end{array}$$
Round the answer to two decimal places.

A) $$\begin{array} { | c | c | c | c | c | c | } \hline x & 15 & 45 & 55 & 70 & 75 \\\hline y & 47.50 & 1.54 & 3.19 & 1.83 & 4.95 \\\hline\end{array}$$
B) $$\begin{array} { | c | c | c | c | c | c | } \hline x & 15 & 45 & 55 & 70 & 75 \\\hline y & 47.50 & 4.95 & 3.19 & 1.54 & 1.83 \\\hline\end{array}$$
C) $$\begin{array} { | c | c | c | c | c | c | } \hline x & 15 & 45 & 55 & 70 & 75 \\\hline y & 47.50 & 4.95 & 1.83 & 3.19 & 1.54 \\\hline\end{array}$$
D) $$\begin{array} { | c | c | c | c | c | c | } \hline x & 15 & 45 & 55 & 70 & 75 \\\hline y & 47.50 & 3.19 & 4.95 & 1.83 & 1.54 \\\hline\end{array}$$
E) $$\begin{array} { | c | c | c | c | c | c | } \hline x & 15 & 45 & 55 & 70 & 75 \\\hline y & 47.50 & 4.95 & 3.19 & 1.83 & 1.54 \\\hline\end{array}$$

Question 16

Write the standard form of the equation of the circle with the given characteristics.
Endpoints of a diameter: (2,2), (12,2)

A) $( x - 7 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 5$
B) $( x - 2 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$
C) $( x + 2 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$
D) $( x + 7 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 25$
E) $( x - 7 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 25$

Question 17

Graphically estimate the x- and y-intercepts of the graph. $$y = 3 - 3 x ^ { 3 }$$

A)x-intercept: (0,1) y-intercept: (0,3)
B)x-intercept: (1,0) y-intercept: (3,0)
C)x-intercept: (0,1) y-intercept: (3,0)
D)x-intercept: (1,0) y-intercept: (0,3)
E)x-intercept: (1,0) y-intercept: (0,-3)

Question 18

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.
Y = 2 - |x|

A)x- intercept: (±2,0) y- intercept: (0,2)
Y-axis symmetry

B)x- intercept: (-2,0) y- intercept: (0,2)
Y-axis symmetry
C)x- intercept: (2,0) y- intercept: (0,±2)
Y-axis symmetry
D)x- intercept: (2,0) y- intercept: (0,2)
Y-axis symmetry
E)x- intercept: (-2,0) y- intercept: (0,2)
Y-axis symmetry

Question 19

Write the standard form of the equation of the circle with the given characteristics.
Center:(3,1);Radius: 7

A) $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 49$
B) $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 7$
C) $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + 7 = 0$
D) $x ^ { 2 } + y ^ { 2 } = 0$
E) $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } - 49 = 0$

Question 20

Graphically estimate the x- and y-intercepts of the graph.
Y = |x + 3|

A)x-intercept: (-3,0) y-intercept: (0,3)
B)x-intercept: (0,-3) y-intercept: (3,0)
C)x-intercept: (0,-3) y-intercept: (0,3)
D)x-intercept: (3,0) y-intercept: (3,0)
E)x-intercept: (0,3) y-intercept: (3,0)

Question 21

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $y = x ^ { 2 } - 4$

A) Intercepts: (-2,0), (2,0), (0,4)
B) Intercepts: (-2,0), (0,-4)
C) Intercepts: (-2,0), (2,0), (0,-4)
D) Intercepts: (2,0), (0,-4)
E) Intercepts: (2,0), (0,4)

Question 22

Determine which point does not lie on the graph of the equation $$y = - 8 - | x - 5 |$$

A)(-2,-15)
B)(-4,-17)
C)(7,-10)
D)(4,-6)
E)(0,-13)

Question 23

Use algebraic tests to check the following for symmetry with respect to the axes and the origin. $3 x + 2 y ^ { 6 } = 0$

A)Symmetric with respect to the origin.
B)No symmetry.
C)Symmetric with respect to the y-axis.
D)Symmetric with respect to the x-axis.

Question 24

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $$y = x \sqrt { x + 2 }$$

A)Intercepts: (0,0), (-2,0)
B)Intercepts: (0,0), (2,0)
C)Intercepts: (0,0), (-2,0)
D)Intercepts: (0,0), (-2,0)
E)Intercepts: (0,0), (6,0)

Question 25

Create and complete a table to find the x and y coordinates of points that lie on the graph of the equation below.Plot at least 5 points along with the graph of the equation. $$y = x + 2$$

A)
B)
C)
D)
E)

Question 26

Determine which of the following point lies on the graph of the equation.
Y = 3 - |x - 1|

A)(4,2)
B)(6,0)
C)(5,0)
D)(4,0)
E)(4,1)

Question 27

Find the x- and y-intercepts of the graph of the equation $$y = | 13 x - 7 |$$ .

A)x-intercept: $\left( - \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0,13)
B) x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$
Y-intercept: (0,-7)
C)x-intercept: (-7,0) y-intercept: (0,13)
D)x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$ y-intercept: none
E)x-intercept: $\left( \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0,7)

Question 28

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.? $$y = x ^ { 2 } + 3$$ ?

A)x-intercept : none y-intercept : (0,3)
The graph has y-symmetry.?
B)x-intercept : (0,0), (-3,0) y-intercept : (0,0)
No symmetry
C)x-intercept : (0,0), (-3,0) y-intercept : (0,0)
No symmetry
?
D)x-intercept : (0,0), (3,0) y-intercept : (0,0)
No symmetry
?
E)x-intercept : (0,0), (3,0) y-intercept : (0,0)
No symmetry
?
?

Question 29

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. $$y = \sqrt { x - 2 }$$

A)x-intercept: (2,0) y-intercept: none
No symmetry

B)x-intercept: (2,0) y-intercept: none
No symmetry
C)x-intercept: (2,0) y-intercept: (0, $\sqrt { 2 }$ )
No symmetry
D)x-intercept: (-2,0) y-intercept: none
No symmetry

E)x-intercept: (-2,0) y-intercept: none
No symmetry

Question 30

Determine which point lies on the graph of the equation $$9 x ^ { 2 } + 4 x - 10$$

A)(0,-10)
B)(1,-10)
C)(0,-12)
D)(2,-11)
E)(1,-12)

Question 31

Graphically estimate the x- and y-intercepts of the graph. $$y = x ^ { 3 } - x$$

A)x-intercept: (±1,0), (0,0) y-intercept: (0,0)
B)x-intercept: (1,0), (0,0) y-intercept: (0,0)
C)x-intercept: (-1,0), (0,0) y-intercept: (0,0)
D)x-intercept: (0,±1), (0,0) y-intercept: (0,0)
E)x-intercept: (0,1), (0,0) y-intercept: (0,0)

Question 32

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts.
Y = |x + 2|

A)Intercepts: (0,-2), (0,2)
B)Intercepts: (-2,0), (0,-2)
C)Intercepts: (2,0), (0,2)
D)Intercepts: (-2,0), (0,2)
E)Intercepts: (-2,0), (2,0)

Question 33

Identify any intercepts and test for symmetry.Then sketch the graph of the equation. $y = x ^ { 3 } - 6$

A)x- intercept: ( $\sqrt [ 3 ] { 6 }$ ,0) y- intercept: (0,±6)
No symmetry
B)x- intercept: ( $\sqrt [ 3 ] { 6 }$ ,0) y- intercept: (0,-6)
No symmetry

C)x- intercept: ( $\sqrt [ 3 ] { 6 }$ ,0) y- intercept: (0,6)
No symmetry
D)x- intercept: ( $\sqrt [ 3 ] { - 6 }$ ,0) y- intercept: (0,6)
No symmetry

E)x- intercept: ( $\sqrt [ 3 ] { - 6 }$ ,0) y- intercept: (0,±6)
No symmetry

Question 34

Assume that the graph has y-symmetry.Select the complete graph of the equation.

A)
B)
C)
D)
E)

Question 35

Find the x- and y-intercepts of the graph of the equation $$y ^ { 2 } = 8 x + 5$$ .

A)x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$
y-intercept: $( 0 , - \sqrt { 5 } )$

B) x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$
Y-intercept: $( 0 , \pm \sqrt { 5 } )$ .

C)x-intercept: $\left( 0 , \frac { 5 } { 8 } \right)$
y-intercept: $( 0 , \pm \sqrt { 5 } )$

D)x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$
y-intercept: $( 0 , \sqrt { 5 } )$

E)x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$
y-intercept: $( 0 , \sqrt { 5 } )$ .

Question 36

Assume that the graph has Origin symmetry.Select the complete graph of the equation.

A)
B)
C)
D)
E)

Question 37

Complete the table.Use the resulting solution points to sketch the graph of the equation. $y = 5 - x ^ { 2 }$
$$\begin{array} { | c | l | l | l | l | l | } \hline x & 4 & 5 & - 5 & - 2 & - 3 \\\hline y & & & & & \\\hline ( x , y ) & & & & & \\\hline\end{array}$$

A) $\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 5 & - 5 & - 2 & - 3 \\\hline y & - 11 & - 20 & - 20 & 1 & - 4 \\\hline ( x , y ) & ( 4 , - 11 ) & ( - 20,5 ) & ( - 20 , - 5 ) & ( - 2,1 ) & ( - 3 , - 4 ) \\\hline\end{array}$

B) $\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 5 & - 5 & - 2 & - 3 \\\hline y & - 11 & - 20 & - 20 & 1 & - 4 \\\hline ( x , y ) & ( 4 , - 11 ) & ( 5 , - 20 ) & ( - 5 , - 20 ) & ( - 2,1 ) & ( - 3 , - 4 ) \\\hline\end{array}$

C) $\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 5 & - 5 & - 2 & - 3 \\\hline y & - 11 & - 20 & - 20 & 1 & - 4 \\\hline ( x , y ) & ( 4 , - 11 ) & ( 5 , - 20 ) & ( - 5 , - 20 ) & ( - 2,1 ) & ( - 3 , - 4 ) \\\hline\end{array}$

D) $\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 5 & - 5 & - 2 & - 3 \\\hline y & - 11 & - 20 & - 20 & 1 & - 4 \\\hline ( x , y ) & ( 4 , - 11 ) & ( 5 , - 20 ) & ( - 20 , - 5 ) & ( - 2,1 ) & ( - 4 , - 3 ) \\\hline\end{array}$

E) $\begin{array} { | c | c | c | c | c | c | } \hline x & 4 & 5 & - 5 & - 2 & - 3 \\\hline y & - 11 & - 20 & - 20 & 1 & - 4 \\\hline ( x , y ) & ( - 11,4 ) & ( - 20,5 ) & ( - 5 , - 20 ) & ( - 2,1 ) & ( - 3 , - 4 ) \\\hline\end{array}$

Question 38

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $$y = x ^ { 2 } - 2 x$$

A) Intercepts: (0,0), (-2,0)
B) Intercepts: (0,0)
C) Intercepts: (0,0), (2,0)
D) Intercepts: (2,0), (0,0)
E) Intercepts: (-2,0), (0,0)

Question 39

Graphically estimate the x- and y-intercepts of the graph. $$y = 81 - 9 x ^ { 2 }$$

A)x-intercept: (±3,0) y-intercept: (0,81)
B)x-intercept: (3,0) y-intercept: (0,81)
C)x-intercept: (-3,0) y-intercept: (0,81)
D)x-intercept: (±3,0) y-intercept: (0,9)
E)x-intercept: (0,3) y-intercept: (0,81)

Question 40

Use a graphing utility to graph the equation.Use a standard setting.Approximate any intercepts. $$y = 7 - \frac { 1 } { 2 } x$$

A)Intercepts: (0,7), (-14,0)
B)Intercepts: (-14,0), (0,-7)
C)Intercepts: (14,0), (0,-7)
D)Intercepts: (0,8), (15,0)
E)Intercepts: (14,0), (0,7)

Question 41

Find the value of x that corresponds to y = 7 in the graph of the equation 4x - 3y = -37.

A)4
B)-16
C)-3
D)3
E)-4

Question 42

You purchase a house for $250,000. The depreciated value, y, after x years is given by y = 250,000 – 12,500x. Sketch the graph of the equation given 0 ≤ x ≤ 8.

A)
B)
C)
D)
E)

Question 43

Sketch the graph of the equation $$4 x ^ { 3 } + 4$$ .

A)
B)
C)
D)
E)

Question 44

Assume the graph has the indicated type of symmetry.Sketch the complete graph. symmetric with respect to the origin.

A)
B)
C)
D)
E)

Question 45

Find the center and radius of the circle $x ^ { 2 } + y ^ { 2 } = 49$ .

A)center: (0,0),radius: 11
B)center: (-1,1),radius: 11
C)center: (0,0),radius: 7
D)center: (-1,-1),radius: 7
E)center: (-7,-11),radius: 7

Question 46

Use algebraic tests to check the following for symmetry with respect to the axes and the origin. $y = 4 x ^ { 20 } - x ^ { 10 } - 3$

A)No symmetry.
B)Symmetric with respect to the y-axis.
C)Symmetric with respect to the origin.
D)Symmetric with respect to the x-axis.

Question 47

Find the graph of the equation. $$f ( x ) = \sqrt { 3 x - 4 }$$

A)
B)
C)
D)

Question 48

Find the value of y that corresponds to x = -4 in the graph of the equation 2x + 3y = 13.

A)9
B)-7
C)-9
D)21
E)7

Question 49

Find the center and radius of the circle $( x - 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25$ .

A)center: (1,5),radius 5
B)center: (5,1),radius 25
C)center: (-5,-1),radius 5
D)center: (-5,-1),radius 25
E)center: (5,1),radius 5

Question 50

Write the standard form of the equation of the circle with the given characteristics. center: (-1,-5);radius: 6

A) $( x - 1 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 36$
B) $( x + 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 6$
C) $( x + 5 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 36$
D) $( x - 5 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 6$
E) $( x + 1 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 36$

Question 51

Find the x- and y-intercepts of the graph of the equation $$y = \sqrt { - 8 x - 7 }$$ .

A)x-intercept: $\left( - \frac { 8 } { 7 } , 0 \right)$ y-intercept: none
B)x-intercept: $$\left( - \frac { 7 } { 8 } , 0 \right)$$ y-intercept: $( 0 , - 7 )$
C)x-intercept: $( 7,0 )$ y-intercept: none
D)x-intercept: $( - 8,0 )$ y-intercept: $( 0,7 )$
E)x-intercept: $\left( - \frac { 7 } { 8 } , 0 \right)$ y-intercept: none

Question 52

Find the y-intercept of the graph of the equation 4y = 3x + 12.

A)(0,-3)
B)(-4,0)
C)(0,3)
D)(0,-4)
E)(0,12)

Question 53

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: (3,4), (7,8)

A) $( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 8$
B) $( x - 6 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 8$
C) $( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 8$
D) $( x + 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 340$
E) $( x - 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 340$

Question 54

Find the graph of the equation. ?
F (x)= | x - 2 |

A)
B)
C)
D)

Question 55

Find the x- and y-intercepts of the graph of the equation y = 36 - 6x.

A)x-intercept: (6,0) y-intercept: (0,-6)
B)x-intercept: (36,0) y-intercept: (0,6)
C)x-intercept: (-6,0) y-intercept: (0,-36)
D)x-intercept: (36,0) y-intercept: (0,36)
E)x-intercept: (6,0) y-intercept: (0,36)

Question 56

Write the standard form of the equation of the circle with the given characteristics. center: (-5,-4);solution point: (-3,-7)

A) $( x + 5 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 13$
B) $( x - 5 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 1$
C) $( x - 5 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 13$
D) $( x - 5 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 17$
E) $( x + 5 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 17$

Question 57

Find the x-intercept of the graph of the equation $$y = 3 \sqrt { x - 6 }$$ .

A)(0,-6)
B)(0,6)
C)(6,0)
D)(-6,0)
E)(0,-18)

Question 58

Sketch the graph of the equation y = 4|x - 3| + 2.

A)
B)
C)
D)
E)

Question 59

Find the x-intercept of the graph of the equation y = 3x + 15.

A)(0,-5)
B)(0,15)
C)(15,0)
D)(0,3)
E)(-5,0)

Question 60

Find the y-intercept of the graph of the equation y = 3x + 18.

A)(0,3)
B)(18,0)
C)(-6,0)
D)(0,18)
E)(0,-6)

Question 61

Graph the circle $$( x - 2 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 25$$ . ?

A)
B)
C)
D)
E)None of the above.

Question 62

Graph the circle $$( x + 2 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 9$$

A)
B)
C)
D)
E)

Question 63

Find any x- or y-intercepts for the graph of the equation $$y = x ^ { 2 } - 8 x + 12$$

A)x-intercepts: (0,12) y-intercepts: (2,0), (6,0)
B)x-intercepts: (-2,0), (-6,0) y-intercepts: (0,12)
C)x-intercepts: (2,0), (6,0) y-intercepts: none
D)x-intercepts: (0,2), (0,6) y-intercepts: (12,0)
E)x-intercepts: (2,0), (6,0) y-intercepts: (0,12)