How to Write the Equation of a Hyperbola in Standard Form


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question 1 of 3

Which equation gives an upright hyperbola?

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What is the location of the center of this hyperbola?

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


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

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

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About This Quiz & Worksheet

There are two versions of the standard form of the equation of a parabola, the lateral and vertical, and this quiz/worksheet combo will help you test your understanding of these forms. The quiz questions will test your ability to identify the direction in which a parabola opens given the equation and identify the center of the hyperbola.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Identifying the opening direction of a hyperbola given the equation
  • Locating the center of a hyperbola given the equation
  • Identifying the foci and vertices of a hyperbola given the equation

Skills Practiced

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

  • Critical thinking - apply relevant concepts to examine information about hyperbolas and their equations in a different light
  • Problem solving - use your acquired knowledge to solve practice problems involving hyperbolas and their equations
  • Information recall - access the knowledge you've gained regarding the distance between the center and foci of a given hyperbola

Additional Learning

Expand your knowledge by reading through the accompanying lesson called How to Write the Equation of a Hyperbola in Standard Form. This lesson covers the following objectives:

  • Define the characteristics of a hyperbola
  • Differentiate between the vertical and horizontal versions of the hyperbola equation
  • Describe how to define the center, vertices, and foci of a hyperbola when given the equation