Grade 10 Hyperbola Worksheet

A Grade 10 math worksheet focusing on hyperbolas, including their equations, properties, and graphing.

Grade 10 Math AlgebraConic SectionsHyperbola

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Multiple ChoiceShort AnswerFill in the BlanksCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GPE.A.3

7 sections · Free to use · Printable

Hyperbola Practice

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following is the standard form equation of a hyperbola centered at the origin?

x²/a² + y²/b² = 1

x²/a² - y²/b² = 1

y²/a² + x²/b² = 1

x + y = 1

2. The foci of a hyperbola are located at (±c, 0) for a horizontal transverse axis. How is 'c' related to 'a' and 'b'?

c² = a² - b²

c² = a² + b²

c = a + b

c = ab

3. Describe the key difference between an ellipse and a hyperbola in terms of their definitions relating to foci.

4. The two separate curves that make up a hyperbola are called its .

5. The lines that the hyperbola approaches but never touches are called .

6. For the hyperbola with the equation x²/16 - y²/9 = 1, identify the following:

Center:

Vertices:

Foci:

Asymptote Equations:

7. Graph the hyperbola given by the equation y²/4 - x²/1 = 1 on the coordinate plane below. Clearly label the vertices and draw the asymptotes.

8. A hyperbola has two axes of symmetry.

True

False