# Conic Sections Overview Chapter Exam

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### Page 1

#### Question 1 1. Which conic section is this?

#### Question 2 2. Which is the hyperbola?

#### Question 3 3. Which is the ellipse?

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Question 4
4.
What is the vertex of this parabola?

(x - 3)^2 = 12(y - 4)

#### Question 5 5. What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 5)?

### Page 2

#### Question 6 6. Which parabola below has a vertex at (-3, 0)?

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Question 7
7.
The following equation is written in which parabolic form?

y = 2*x*2 - 3*x* + 12

*x*2 - 3

*x*+ 12

#### Question 8 8. What is the equation of the axis of symmetry of the parabola given by the equation y = 6(x + 1)(x - 5)?

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Question 9
9.
The following equation is written in which parabolic form?

y = -(*x* - 3)2 - 1

*x*- 3)2 - 1

#### Question 10 10. What is the equation of the ellipse with a center located at (6, 0), an x radius of 2, and a y radius of 4?

### Page 3

#### Question 11 11. What is the radius in the y direction?

#### Question 12 12. What is the x radius of this ellipse?

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Question 13
13.
What is the center of this hyperbola?

(x - 9)^2/2 - (y - 4)^2/4 = 1

#### Question 14 14. Which of the following shows a hyperbola that opens up and down?

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Question 15
15.
The foci of this hyperbola have the coordinates (h, k + c), (h, k - c)

What is the c value of this hyperbola?

(y - 6)^2/9 - (x - 8)^2/16 = 1

### Page 4

#### Question 16 16. Which equation fits this ellipse?

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Question 17
17.
How far away is the right side of the ellipse from the center?

(x - 5)^2/9 + (y + 9)^2/16 = 1

#### Question 18 18. What does h equal in this ellipse?

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Question 19
19.
What is the location of the center of this hyperbola?

(x - 3)^2/9 - (y - 4)^2/25 = 1

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Question 20
20.
How far away from the center are the vertices in this hyperbola?

(x - 4)^2/9 - (y - 1)^2/25 = 1

### Page 5

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Question 21
21.
What is the center of this hyperbola?

(y - 1)^2/9 - (x - 3)^2/16 = 1

#### Question 22 22. Which of the following is the standard form that covers all the shapes of a conic section?

#### Question 23 23. What is the eccentricity of a circle?

#### Question 24 24. Which of the following is NOT a conic section?

#### Question 25 25. Which conic section is this?

### Page 6

####
Question 26
26.
What is the vertex of this parabola?

(y - 2)^2 = -8(x - 1)

#### Question 27 27. Given the following equation, y = 3(x + 5)(x + 9), x = 5 & x = 9 are _____.

#### Question 28 28. Which ellipse has a center located at (-1, 5)?

####
Question 29
29.
Which of the following is a vertex of this hyperbola?

(x - 2)^2/9 - (y - 3)^2/16 = 1

####
Question 30
30.
Which letter stands for the radius in the x direction?

(x - h)^2/a^2 + (y - k)^2/b^2 = 1

#### Conic Sections Overview Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!