1. Graph and Write Equations of Hyperbolas
Section 9.5
Graph and Write Equations of Hyperbolas

2. California Standard:
16.0: Students demonstrate and explain how the geometry of the graph of a conic section depends on the coefficients of the quadratic equation representing it.

3. By following instructions, students will be able to:
OBJECTIVE(S):
By following instructions, students will be able to:
Graph and write equations of hyperbolas.

4. Def: A hyperbola is the set of all points P in a plane such that the sum of the distances between P and two fixed points, called the foci, is a constant Standard Equation of a Hyperbola with Center at the Origin y y x x

5. EXAMPLE 1:
Graph Identify the vertices, foci, and asymptotes of the hyperbola.

6. EXAMPLE 2:
Write an equation of the hyperbola with foci at (-4,0), and (4,0) and vertices at (-3,0) and (3,0). 6

7. U-TRY#1:
Graph the equation. Identify the vertices, foci, and asymptotes of the hyperbola. A) B) C)
Write an equation of the hyperbola with the given foci and vertices
Foci (-3,0), (3,0); vertices (-1,0) and (1,0)
Foci (0,-10), (0,10); vertices (0,-6) and (0,6)

8. HOMEWORK
Sec 9.5 WS