Deck 8: Conic Sections

Question 1

Graph .

A)
B)
C)
D)

Answer 1

Question 2

Graph the ellipse .

A)
B)
C)
D)

Answer 2

Question 3

Graph the equation.

A)
B)
C)
D)
E)

Answer 3

Question 4

Graph .

A)
B)
C)
D)

Question 5

Graph the circle. Give the coordinates of the center.

A)
B)
C)
D)
E)

Question 6

Select the graph of the ellipse.

A)
B)
C)
D)
E)

Question 7

Select the graph of the ellipse.

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 .

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.

A)
B)
C)
D)
E)

Question 12

Find the vertex of the parabola and graph it.

A)
B)
C)
D)
E)

Question 13

Find the vertex of the parabola and graph it.

A)
B)
C)
D)
E)

Question 14

Graph the equation.

A)
B)
C)
D)
E)

Question 15

Graph the ellipse .

A)
B)
C)
D)

Question 16

Find the vertex of the parabola and graph it.

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.

A)
B)
C)
D)
E)

Question 19

Sketch the graph of the following parabola.

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 , 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 .

A)
B)
C)
D)

Question 24

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

A)
B)
C)
D)