1 / 8

Hyperbola

Hyperbola. Warm Up: Try to recall the standard form of a hyperbola’s equation And use it to find the equation of a hyperbola with a center of (1, -1), a vertex of (3, -1) and a foci at (4, -1). Objective: Be able to get the equation of a hyperbola from given information or the graph

patriciarwilliams
Download Presentation

Hyperbola

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Hyperbola Warm Up: Try to recall the standard form of a hyperbola’s equation And use it to find the equation of a hyperbola with a center of (1, -1), a vertex of (3, -1) and a foci at (4, -1). Objective: Be able to get the equation of a hyperbola from given information or the graph Be able to find the key features of and graph a hyperbola Thinking Skill: Explicitly assess information and draw conclusions

  2. Hyperbola • Definition: A hyperbola is the set of all points (x, y) where the difference of the distances from two fixed points (foci) is constant • Equations • Horizontal – Vertical Asymptotes Asymptotes Where the center is (h, k), and a2 + b2 = c2

  3. Examples • Find the center, vertices, foci and asymptotes of then graph.

  4. Examples • Find the center, vertices, foci and asymptotes then graph

  5. Examples • Find the equation of the hyperbola with foci (-1, 2) and (5, 2) and vertices (0, 2) and (4, 2).

  6. Examples • Find the equation of the hyperbola with foci (10, 0) and (-10, 0) and asymptotes of y = ¾x and y = -¾x

  7. Two microphones, 1 mile apart, record an explosion. Microphone A receives the sound 2 seconds before microphone B. Find an equation representing where the explosion occurred.Note: 5280ft = 1mi & sound travels 1100ft/sec

  8. Closing Problem Find the standard form equation of the hyperbola with vertices of (-1, 3) & (-1, 9) and a focus of (-1, -1).

More Related