The Hyperbola: Definition, Vertices, Foci & Graphing


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question 1 of 3

What is the center of this hyperbola?

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

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Which of the following is a vertex of this hyperbola?

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

2. How many arcs does a hyperbola have?

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About This Quiz & Worksheet

The hyperbola is one of the four shapes made when a cone is segmented, in other words a hyperbola is the shape of a conic section, and this quiz/worksheet combo will help you test your knowledge on graphing equations in a hyperbolic shape. The questions on the quiz will test you on identifying the center of a hyperbola, identifying the vertex of a hyperbola, and identifying the c value and direction of a hyperbola.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Identifying the center of a hyperbola
  • Identifying the vertex of a hyperbola
  • Determining which way a hyperbola opens
  • Defining the c value of a hyperbola

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information on graphing hyperbolas from the related lesson
  • Problem solving - use your acquired knowledge to solve practice problems involving hyperbolas
  • Information recall - access the knowledge you've gained regarding graphing hyperbolas

Additional Learning

You should also review the accompanying lesson on this topic. The lesson is titled The Hyperbola: Definition, Verticies, Foci, & Graphing. This lesson covers the following topics:

  • Define a hyperbola
  • Discuss the equations of hyperbolas
  • Discuss the two vertices and foci of a hyperbola
  • Describe the process by which you can graph hyperbolas