# 9 06 conic sections unit exam

### Question 1

Find the distance between points (1, 2) and (5, 9).

### Question 2

Find the distance between points (-3, 8) and (-5, 1).

### Question 3

1. Find the midpoint between points (-4, 2) and (2, -2).
 (1, -1) (0, -1) (-1, 0) (1, 0)

2 points

### Question 4

1. Find the midpoint between points (-2, 3) and (-4, -3).
 (3, 1) (-3, -1) (0, -3) (-3, 0)

2 points

### Question 5

1. The equation represents a __________.
 parabola circle hyperbola ellipse

2 points

### Question 6

1. What is the directrix of the following graph? y = -1 y = 1 x = 1 x = -1

2 points

### Question 7

1. What is the equation of the following graph? ### Question 8

What is the directrix of the following graph? ### Question 9

What is the equation of the following graph? ### Question 10

What is the equation of a parabola with a directrix x = 8 and focus (-8, 0).

### Question 11

What is the equation of a parabola with vertex (0, 0) and directrix y = 12.

### Question 12

What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 6).

### Question 13

1. What is the axis of symmetry for the following parabola? y = 0 x = 0 y = -1 x = -1

2 points

### Question 14

1. What is the equation of the following graph? x2 – y2 = 10 x2 – y2 = 100 x2 + y2 = 10 x2 + y2 = 100

2 points

### Question 15

What is the center of the following graph? ### Question 16

What is the radius of the following graph? ### Question 17

What is the equation of the following graph? ### Question 18

What is the equation of a circle with a center at (1, 3) and a radius of 6?

### Question 19

What is the equation of a circle with a center at (0, 0) and a radius of 4.5?

### Question 20

What is the equation of a circle with a center at (-4, -8) and a radius of 1.9?

### Question 21

1. The point of symmetry for this circle is (0, 0). 2 points

### Question 22

1. What is the length of the major axis of the following graph? 6 12 8 10

2 points

### Question 23

1. What is the center of the following graph? ### Question 24

What is the equation of the following graph? ### Question 25

What are the vertices of the following graph? ### Question 26

Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).

### Question 27

Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).

### Question 28

Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.

### Question 29

1. Ellipses have symmetry through both their minor and major axes.

2 points

### Question 30

1. What are the asymptotes of the following graph?     2 points

### Question 31

1. What is the equation of the following graph? ### Question 32

What is the center of the following graph? ### Question 33

What is the equation of the following graph? ### Question 34

Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).

### Question 35

Write the equation of a hyperbola with vertices at (-4, 0) and (4, 0) and co-vertices (0, 5) and (0, -5).

### Question 36

Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).

### Question 37

1. The symmetry of a hyperbola with a center at (h, k) only occurs at y = k and x = h.