Deck 8: Conic Sections

Question 1

Graph $y = 2 x ^ { 2 } + 3 x - 1$ .

A)
B)
C)
D)

Answer 1

Question 2

Graph the ellipse $25 x ^ { 2 } + 4 y ^ { 2 } = 100$ .

A)
B)
C)
D)

Answer 2

Question 3

Graph the equation. $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 9 } = 1$

A)
B)
C)
D)
E)

Answer 3

Question 4

Graph $4 x ^ { 2 } + y ^ { 2 } + 2 x - 15 = 0$ .

A)
B)
C)
D)

Question 5

Graph the circle. Give the coordinates of the center. $$x ^ { 2 } + y ^ { 2 } - 2 y = 8$$

A)
B)
C)
D)
E)

Question 6

Select the graph of the ellipse. $$x ^ { 2 } + 6 x + 9 y ^ { 2 } - 54 y + 81 = 0$$

A)
B)
C)
D)
E)

Question 7

Select the graph of the ellipse. $7 x ^ { 2 } + 25 y ^ { 2 } = 175$

A)
B)
C)
D)
E)

Question 8

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Center at (0, -5)and r = 6

A)x ² + y ² - 10 y - 61 = 0
B)x ² + y ² - 10 y + 25 = 0
C)x ² + y ² + 10 y - 11 = 0
D)x ² + y ² + 10 y + 25 = 0

Question 9

Graph $y = - \frac { 3 } { 5 } x ^ { 2 } - x + \frac { 1 } { 5 }$ .

A)
B)
C)
D)

Question 10

Write the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Center at the origin and r = 3

A)x ² + y ² = 0
B)x ² - y ² - 9 = 0
C)x ² - y ² + 9 = 0
D)x ² + y ² + 9 = 0
E)x ² + y ² - 9 = 0

Question 11

Select the graph of the ellipse. $$16 x ^ { 2 } - 96 x + 5 y ^ { 2 } + 10 y + 69 = 0$$

A)
B)
C)
D)
E)

Question 12

Find the vertex of the parabola and graph it. $x = - y ^ { 2 } + 3$

A)
B)
C)
D)
E)

Question 13

Find the vertex of the parabola and graph it. $$y = x ^ { 2 } + 4 x + 6$$

A)
B)
C)
D)
E)

Question 14

Graph the equation. $$36 x ^ { 2 } - y ^ { 2 } = 36$$

A)
B)
C)
D)
E)

Question 15

Graph the ellipse $x ^ { 2 } + 9 y ^ { 2 } = 36$ .

A)
B)
C)
D)

Question 16

Find the vertex of the parabola and graph it. $$x = \frac { 1 } { 2 } y ^ { 2 } + 4 y$$

A)
B)
C)
D)
E)

Question 17

Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x ² + y ² + Dx + Ey + F = 0. Tangent to the x axis, a radius of length 7, and abscissa of center is -8

A)x ² + y ² - 16 x - 14 y + 64 = 0 and x ² + y ² - 16 x + 14 y + 64 = 0
B)x ² + y ² + 16 x - 14 y + 64 = 0
C)x ² + y ² + 16 x - 14 y + 64 = 0 and x ² + y ² + 16 x + 14 y + 64 = 0
D)x ² + y ² + 16 x + 14 y + 64 = 0
E)x ² + y ² - 16 x + 14 y + 64 = 0

Question 18

Graph the equation. $( x - 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 9$

A)
B)
C)
D)
E)

Question 19

Sketch the graph of the following parabola. $y = \frac { 1 } { 4 } x ^ { 2 } + 3$

A)
B)
C)

Question 20

Graph the equation. x ² + y ² = 9

A)
B)
C)

Question 21

Graph the hyperbola. -16 x ² + 128 x + 9 y ² - 72 y - 148 = 0

A)
B)
C)
D)

Question 22

For the equation $y ^ { 2 } - 4 x ^ { 2 } = 64$ , find the intercepts and the equations of the asymptotes.

A)intercepts: (2, 0), (-2, 0)asymptotes: y = -8 x , y = 8 x
B)intercepts: (8, 0), (-8, 0)asymptotes: y = -2 x , y = 2 x
C)intercepts: (8, 0), (-8, 0)asymptotes: x = -2 y , x = 2 y
D)intercepts: (0, 8), (0, -8)asymptotes: x = -2 y , x = 2 y
E)intercepts: (0, 8), (0, -8)asymptotes: y = -2 x , y = 2 x

Question 23

Graph $y ^ { 2 } - 16 x ^ { 2 } = 4$ .

A)
B)
C)
D)

Question 24

Graph the hyperbola. x ² + 4 x - 4 y ² + 32 y - 64 = 0

A)
B)
C)
D)