Hyperbolas
Hyperbolas
Symmetry
Hyperbolas have both reflectional and rotational symmetry. The reflectional symmetry of every hyperbola is a vertical line through the center and a horizontal line through the center. The rotational symmetry of every hyperbola is 180 degrees about the center point.
Example State the symmetry for the hyperbola modeled by the equation:
Example State the symmetry for the hyperbola modeled by the equation:
Step 1. State the center.
The center of the hyperbola is: (1, -5)
Step 2. State the reflectional symmetry.
This hyperbola has lines of symmetry at x = 1 and y = -5.
Step 3. State the rotational symmetry.
This hyperbola has 180 degree rotational symmetry about (1, -5).