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# Conic Sections in Coordinate Geometry Chapter Exam

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!

### Page 1

#### Question 1 1. If the larger denominator of the standard form of the equation is underneath the y-variable, then the major axis is:

#### Question 2 2. An ellipse is a shape where the set of all points where the sum of the distances from the foci is:

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Question 3
3.
The equation of an ellipse is where *c*2 = *a*2 - *b*2. What is *a* equal to if the length of the major axis is 6?

#### Question 4 4. What is the shape of a parabola?

#### Question 5 5. How do we define a parabola using its focus and directrix?

### Page 2

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Question 6
6.
Suppose that a parabola has focus point *F* and directrix *y* = *k*. If the distance from *F* to a point *P* on the parabola is 7 inches, what is the distance from the point *P* to the directrix of the parabola?

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Question 7
7.
A parabola equation is given as *y* = 3(*x* - 2)^2 + 5. What are the coordinates of the vertex?

#### Question 8 8. Each point on the curve of a parabola is _____ to the focus and the directrix.

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Question 9
9.
When a parabola equation is written as *y* = -5(*x* -2)^2 + 6, the form is _____

#### Question 10 10. How many arcs does a hyperbola have?

### Page 3

#### Question 11 11. Which of the following shows a hyperbola that opens up and down?

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Question 12
12.
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

#### Question 13 13. Which conic section is this?

#### Question 14 14. Which conic section is this?

#### Question 15 15. Which is the hyperbola?

### Page 4

#### Question 16 16. 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?

#### Question 17 17. What is the center of this ellipse?

#### Question 18 18. Which ellipse has a center located at (-1, 5)?

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Question 19
19.
How far away is the right side of the ellipse from the center?

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

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Question 20
20.
What is the center of this ellipse?

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

### Page 5

#### Question 21 21. What does h equal in this ellipse?

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Question 22
22.
How far away from the center are the foci in this hyperbola?

(y - 5)^2/9 - (x - 3)^2/16 = 1

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Question 23
23.
What is the location of the center of this hyperbola?

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

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Question 24
24.
How far away from the center are the vertices in this hyperbola?

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

#### Question 25 25. Which of the following statements is true about an ellipse and/or hyperbola?

### Page 6

#### Question 26 26. Give the definition of an ellipse in terms of its foci.

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Question 27
27.
Given that *FP* + *GP* is constant for all *P* on the ellipse shown, which of the following statements is true?

#### Question 28 28. Foci are:

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Question 29
29.
Suppose that a parabola has focus *F* and directrix *y* = *k*. The distance from a point, *P*, on the parabola to the directrix of the parabola is 11 centimeters. How far is it from *P* to *F*?

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Question 30
30.
A specific parabola is written as *y* = 2*x*^2 - 3*x* + 6. This equation is in _____

#### Conic Sections in Coordinate Geometry 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!