1. Hyperbolas

2. Hyperbola: a set of all points (x, y) the difference of whose distances from two distinct fixed points (foci) is a positive constant. Similar to ellipse, which is the SUM of distances

3. Every hyperbola has two disconnected branches. The line through the foci intersects a hyperbola at its two vertices. This line connecting the vertices is called the transverse axis, the midpoint is the center.

4. Eccentricity: larger e (e>1) means flatter branches, close to 1 means more curve.

5. Standard Form of a Hyperbola VERTICAL HORIZONTAL

6. HORIZONTAL HYPERBOLAS

7. VERTICAL HYPERBOLAS

8. Find center, vertices, foci, and slope of asymptotes. Then graph.

10. Write in standard form. Find center, vertices, foci, and asymptotes. Then graph.

11. Write the equation of a hyperbola in standard form.

12. Identify as circle, ellipse, or hyperbola.