Explanation

A hyperbola has two separate curves (branches).

Standard form (center at origin):
x²/a² − y²/b² = 1 (horizontal transverse axis)

y²/a² − x²/b² = 1 (vertical transverse axis)

Key features:

• Center

• Vertices

• Asymptotes

• Foci

Hyperbolas involve subtraction, not addition.

Quiz

1. What symbol indicates a hyperbola?

2. How many branches does a hyperbola have?

3. What is the center of x²/4 − y²/9 = 1?

4. Does a hyperbola use addition or subtraction?

5. Are hyperbolas symmetric?

Answer Key

1. Minus sign

2. Two

3. (0, 0)

4. Subtraction

5. Yes