Grade 10 Hyperbola Worksheet
A Grade 10 math worksheet focusing on hyperbolas, including their equations, properties, and graphing.
Includes
Standards
Hyperbola Practice
Name:
Date:
Score:
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