1. Objective: Graphing hyperbolas centered at the origin.
Warm up
Read the definition of a hyperbola. Write two facts about hyperbolas.
Section 9.2, pg 886
Set of points in a plane, where the difference between any point and the foci is constant.
Vertices are a units from the center.

3. 1

5. Example 1 Find the vertices and locate the foci for each hyperbola. a
Example 1 Find the vertices and locate the foci for each hyperbola. a. b.

6. Example 2 Find the standard form of the equation of a hyperbola with foci at (0, -5) and (0, 5); vertices (0, -3) and (0, 3).

7. Steps for graphing a hyperbola:
State whether the hyperbola has a vertical or horizontal transverse axis.
Find a, b, and c.
Plot center and count a, b, and c to plot vertices, co-vertices and foci.
Draw boundary box and asymptotes.
Draw both u-shapes at vertices.
Example 3
Graph and locate the foci. Find equations of the asymptotes.

8. Example 4 Graph and locate the foci. Find equations of the asymptotes.

9. Classwork
Gizmo: Hyperbola-Activity A.
Pg 898 #4,14,22,24,28,30
Quiz on Thursday:
Graphing ellipses.
Writing equations in standard form
Graphing hyperbolas.