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Hyperbolas Objective: graph hyperbolas from standard form.

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Presentation on theme: "Hyperbolas Objective: graph hyperbolas from standard form."— Presentation transcript:

1 Hyperbolas Objective: graph hyperbolas from standard form

2 Review Circles Standard Form Center Radius Ellipses Standard Form Center Vertices Foci Major and Minor Axes

3 Hyperbolas Definition: Locus of points such that the difference of the distances from 2 fixed points is constant Standard Form of Equation: or

4 Parts of a Hyperbola

5

6 Example Graph center: (0, 0) a = 4 b = 5 vertices: (4, 0) (-4, 0) slope of asymptotes: + 5/4 foci: (+ √41, 0)

7 Practice Graph the hyperbola

8 Practice Graph the hyperbola 9x 2 – 4y 2 – 54x – 40y – 55 = 0.


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