Question 1

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=-2(x-1)^{2}+2$

Find the $x$-intercepts.
A) $( 0,0 )$ and $( 0,2 )$
B) $( - 1,0 )$ and $( 1,0 )$
C) $( - 1,0 )$ and $( 3,0 )$
D) $( 0,0 )$ and $( 2,0 )$

Accepted Answer

D

Question 2

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=(x-3)^{2}-4$

Find the $x$-intercepts.
A) $( 3 , - 4 )$
B) $( 1,0 )$ and $( 5,0 )$
C) $( 2,0 )$ and $( 6,0 )$
D) $( 0,1 )$ and $( 0,5 )$

Accepted Answer

B

Question 3

Match the equation to the correct graph.
$y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 2 } - 1$
A) 
B) 
C) 
D)

Accepted Answer

A

Question 4

Match the equation to the correct graph
$y = - ( x + 2 ) ^ { 2 } + 2$
A) 
B) 
C) 
D)

Accepted Answer

The answer of Match the equation to the correct graph
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Question 5

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=(x-1)^{2}-5$

Find the domain and range.
A) Domain: $[ - 5 , \infty )$; Range: $( -\infty , \infty )$
B) Domain: $( -\infty , \infty )$; Range: $[ - 5 , \infty )$
C) Domain: $( -\infty , \infty )$; Range: $( -\infty , - 5 ]$
D) Domain: $( - 5 , \infty )$; Range: $[ 5 , \infty )$

Accepted Answer

The answer of Use the equation and the corresponding graph...

Question 6

Match the equation to the correct graph.
-$$y = x ^ { 2 } - 2$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation to the correct graph.
-\[y...

Question 7

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=(x-3)^{2}-6$

Find the $y$-intercept.
A) $( 0,4 )$
B) $( 3,0 )$
C) $( 0,3 )$
D) $( - 3,0 )$

Accepted Answer

The answer of Use the equation and the corresponding graph...

Question 8

Match the equation to the correct graph.
-$$y = 2 ( x + 2 ) ^ { 2 } - 3$$

A)

B)

C)

D)

Accepted Answer

The answer of Match the equation to the correct graph.
-\[y...

Question 9

Match the equation to the correct graph
$y = ( x - 3 ) ^ { 2 }$
A) 
B) 
C) 
D)

Accepted Answer

The answer of Match the equation to the correct graph
\(y...

Question 10

Match the equation to the correct graph.
-$$y = ( x + 5 ) ^ { 2 }$$
A)

B)

C)

D)

Accepted Answer

The answer of Match the equation to the correct graph.
-\[y...

Question 11

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=-2(x-3)^{2}+4$

Find the coordinates of the vertex.
A) $( 3 , - 4 )$
B) $( 4,3 )$
C) $( - 3,4 )$
D) $( 3,4 )$

Accepted Answer

The answer of Use the equation and the corresponding graph...

Question 12

Match the equation to the correct graph
$y = 2 ( x - 4 ) ^ { 2 } - 3$
A) 
B) 
C) 
D)

Accepted Answer

The answer of Match the equation to the correct graph
\(y...

Question 13

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=-2(x-4)^{2}+1$

Find the equation of the axis.
A) $x = 1$
B) $x = 4$
C) $y = 1$
D) $y = 4$

Accepted Answer

The answer of Use the equation and the corresponding graph...

Question 14

Match the equation to the correct graph.
$y = \frac { 1 } { 3 } ( x - 5 ) ^ { 2 } + 6$
A) 
B) 
C) 
D)

Accepted Answer

The answer of Match the equation to the correct graph.
\(y...

Question 15

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=-2(x-1)^{2}+3$

Find the $\mathrm { y }$-intercept.
A) $( 1,0 )$
B) $( 0,0 )$
C) $( 0,1 )$
D) $( 0,2 )$

Accepted Answer

The answer of Use the equation and the corresponding graph...

Question 16

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=(x-1)^{2}-2$

Find the equation of the axis.
A) $y = - 2$
B) $y = 2$
C) $x = - 1$
D) $x = 1$

Accepted Answer

The answer of Use the equation and the corresponding graph...

Question 17

Find the domain and range of the function.
-$$f ( x ) = ( x - 2 ) ^ { 2 } + 2$$
A) Domain: $( - 2 , \infty )$; range: $( - \infty , \infty )$
B) Domain: $( - \infty , \infty )$; range: $[ 2 , \infty )$
C) Domain: $( - \infty , \infty )$; range: $( - \infty , 2 )$
D) Domain: $( - \infty , 2 )$; range: $( - \infty , \infty )$

Accepted Answer

The domain of a quadratic function is always $( - \infty , \infty )$ because you can input any real number into the function. The range is $[ 2 , \infty )$ because the vertex of the parabola is at $(2, 2)$ and it opens upwards, meaning the lowest value of $f(x)$ is 2, and it increases without bound from there.

Question 18

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=-2(x-5)^{2}+1$

Find the domain and range.
A) Domain: $( -\infty , \infty )$; Range: $[ 1 , \infty )$
B) Domain: $( -\infty , \infty )$; Range: $( -\infty , \infty )$
C) Domain: $( -\infty , 1 ]$; Range: $( -\infty , \infty )$
D) Domain: $( -\infty , \infty )$; Range: $( -\infty , 1 ]$

Accepted Answer

The answer of Use the equation and the corresponding graph...

Question 19

Use the equation and the corresponding graph for the quadratic function to find what is requested.
-$f(x)=(x-1)^{2}-3$

Find the coordinates of the vertex.
A) $( - 1 , - 3 )$
B) $( 1,0 )$
C) $( - 1,3 )$
D) $( 1 , - 3 )$

Accepted Answer

The answer of Use the equation and the corresponding graph...

Question 20

Match the equation to the correct graph.
-$$y = - ( x + 4 ) ^ { 2 } + 6$$

A)

B)

C)

D)

Accepted Answer

The answer of Match the equation to the correct graph.
-\[y...

Quiz 4: Polynomials and Rational Functions

Match the equation to the correct graph. $y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 2 } - 1$

Match the equation to the correct graph $y = - ( x + 2 ) ^ { 2 } + 2$

Match the equation to the correct graph. - $y = x ^ { 2 } - 2$

Match the equation to the correct graph. - $y = 2 ( x + 2 ) ^ { 2 } - 3$

Match the equation to the correct graph $y = ( x - 3 ) ^ { 2 }$

Match the equation to the correct graph. - $y = ( x + 5 ) ^ { 2 }$

Match the equation to the correct graph $y = 2 ( x - 4 ) ^ { 2 } - 3$

Match the equation to the correct graph. $y = \frac { 1 } { 3 } ( x - 5 ) ^ { 2 } + 6$

Find the domain and range of the function. - $f ( x ) = ( x - 2 ) ^ { 2 } + 2$

Match the equation to the correct graph. - $y = - ( x + 4 ) ^ { 2 } + 6$

Quiz 4: Polynomials and Rational Functions

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =−2(x−1) 2+2f(x) =-2(x-1) ^{2}+2f(x) =−2(x−1) 2+2 Find the xxx -intercepts.

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =(x−3) 2−4f(x) =(x-3) ^{2}-4f(x) =(x−3) 2−4 Find the xxx -intercepts.

Match the equation to the correct graph. y=−12(x+4) 2−1y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 2 } - 1y=−21​(x+4) 2−1

Match the equation to the correct graph y=−(x+2) 2+2y = - ( x + 2 ) ^ { 2 } + 2y=−(x+2) 2+2

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =(x−1) 2−5f(x) =(x-1) ^{2}-5f(x) =(x−1) 2−5 Find the domain and range.

Match the equation to the correct graph. - y=x2−2y = x ^ { 2 } - 2y=x2−2

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =(x−3) 2−6f(x) =(x-3) ^{2}-6f(x) =(x−3) 2−6 Find the yyy -intercept.

Match the equation to the correct graph. - y=2(x+2) 2−3y = 2 ( x + 2 ) ^ { 2 } - 3y=2(x+2) 2−3

Match the equation to the correct graph y=(x−3) 2y = ( x - 3 ) ^ { 2 }y=(x−3) 2

Match the equation to the correct graph. - y=(x+5) 2y = ( x + 5 ) ^ { 2 }y=(x+5) 2

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =−2(x−3) 2+4f(x) =-2(x-3) ^{2}+4f(x) =−2(x−3) 2+4 Find the coordinates of the vertex.

Match the equation to the correct graph y=2(x−4) 2−3y = 2 ( x - 4 ) ^ { 2 } - 3y=2(x−4) 2−3

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =−2(x−4) 2+1f(x) =-2(x-4) ^{2}+1f(x) =−2(x−4) 2+1 Find the equation of the axis.

Match the equation to the correct graph. y=13(x−5) 2+6y = \frac { 1 } { 3 } ( x - 5 ) ^ { 2 } + 6y=31​(x−5) 2+6

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =−2(x−1) 2+3f(x) =-2(x-1) ^{2}+3f(x) =−2(x−1) 2+3 Find the y\mathrm { y }y -intercept.

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =(x−1) 2−2f(x) =(x-1) ^{2}-2f(x) =(x−1) 2−2 Find the equation of the axis.

Find the domain and range of the function. - f(x) =(x−2) 2+2f ( x ) = ( x - 2 ) ^ { 2 } + 2f(x) =(x−2) 2+2

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =−2(x−5) 2+1f(x) =-2(x-5) ^{2}+1f(x) =−2(x−5) 2+1 Find the domain and range.

Use the equation and the corresponding graph for the quadratic function to find what is requested. - f(x) =(x−1) 2−3f(x) =(x-1) ^{2}-3f(x) =(x−1) 2−3 Find the coordinates of the vertex.

Match the equation to the correct graph. - y=−(x+4) 2+6y = - ( x + 4 ) ^ { 2 } + 6y=−(x+4) 2+6

Match the equation to the correct graph. $y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 2 } - 1$

Match the equation to the correct graph $y = - ( x + 2 ) ^ { 2 } + 2$

Match the equation to the correct graph. - $y = x ^ { 2 } - 2$

Match the equation to the correct graph. - $y = 2 ( x + 2 ) ^ { 2 } - 3$

Match the equation to the correct graph $y = ( x - 3 ) ^ { 2 }$

Match the equation to the correct graph. - $y = ( x + 5 ) ^ { 2 }$

Match the equation to the correct graph $y = 2 ( x - 4 ) ^ { 2 } - 3$

Match the equation to the correct graph. $y = \frac { 1 } { 3 } ( x - 5 ) ^ { 2 } + 6$

Find the domain and range of the function. - $f ( x ) = ( x - 2 ) ^ { 2 } + 2$

Match the equation to the correct graph. - $y = - ( x + 4 ) ^ { 2 } + 6$