Geometry: High School  /  Math Courses

Test Prep Plan - Take a practice test

Take this practice test to check your existing knowledge of the course material. We'll review your answers and create a Test Prep Plan for you based on your results.
How Test Prep Plans work
1
Answer 50 questions
Test your existing knowledge.
2
View your test results
Based on your results, we'll create a customized Test Prep Plan just for you!
3
Study smarter
Study more effectively: skip concepts you already know and focus on what you still need to learn.

High School Geometry: Conic Sections Chapter Exam

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!

Page 1

Question 1 1. A parabola equation is given as y = 3(x - 2)^2 + 5. What are the coordinates of the vertex?

Question 2 2. For a parabola given by y = 4(x - 3)(x - 4), the form of this equation is _____

Question 3 3. When a parabola equation is written as y = -5(x -2)^2 + 6, the form is _____

Question 4 4. A specific parabola is written as y = 2x^2 - 3x + 6. This equation is in _____

Question 5 5. Each point on the curve of a parabola is _____ to the focus and the directrix.

Page 2

Question 6 6. Which of the following statements is true about an ellipse and/or hyperbola?

Question 7 7. Given that FP + GP is constant for all P on the ellipse shown, which of the following statements is true?

Question 8 8. Give the definition of an ellipse in terms of its foci.

Question 9 9. Give the definition of a hyperbola in terms of its foci.

Question 10 10. Given that F and G are the foci of the hyperbola shown, which of the following statements is true?

Page 3

Question 11 11. What is the shape of a parabola?

Question 12 12. 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?

Question 13 13. What do we call the highest or lowest point of a parabola?

Question 14 14. How do we define a parabola using its focus and directrix?

Question 15 15. 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?

Page 4

Question 16 16. Which conic section is described by the equation shown below?

Question 17 17. The conic section with a semi-major and semi-minor axis is the _____.

Question 18 18. Which type of conic section is shown below?

Question 19 19. What is the length of the semi-major axis in the ellipse that is described by the following equation?

Question 20 20. What is the radius of the circle described by the following equation?

Page 5

Question 21 21. What is the equation of a hyperbola with a horizontal transverse axis such that (h, k) is its center, a is the distance from the center to a vertex, c is the distance from the center to the foci, and b2 = c2 - a2?

Question 22 22. Consider the equation of a hyperbola ((x - h)2 / a2) - ((y - k)2 / b2) = 1, where (h, k) is the center of the hyperbola, a is the distance from the center to the vertex of the hyperbola, and c is the distance from the center to the foci of the hyperbola. How do we find b?

Question 23 23. What is the definition of a hyperbola?

Question 24 24. Consider a hyperbola that has a horizontal transverse axis such that its center is (0,0), the distance from the center to a vertex is 2, and the distance from the center to the foci is 3. What is the equation of the hyperbola?

Question 25 25. Which of the following is the shape of a hyperbola?

Page 6

Question 26 26. In the standard form of the equation for an ellipse, the center's coordinates are equivalent to:

Question 27 27. An ellipse is a shape where the set of all points where the sum of the distances from the foci is:

Question 28 28. If the larger denominator of the standard form of the equation is underneath the y-variable, then the major axis is:

Question 29 29. Foci are:

Question 30 30. The equation of an ellipse is where c2 = a2 - b2. What is a equal to if the length of the major axis is 6?

High School Geometry: Conic Sections 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!

Support