1 / 9

Hyperbola - Finding the Equation

Horizontal Axis. Vertical Axis. Hyperbola - Finding the Equation. Recall that the equations for the hyperbola are given by . Hyperbola - Finding the Equation. Summary of meanings of the constants:. The center is at C(h, k) .

uyen
Download Presentation

Hyperbola - Finding the Equation

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. Horizontal Axis Vertical Axis Hyperbola - Finding the Equation • Recall that the equations for the hyperbola are given by ...

  2. Hyperbola - Finding the Equation • Summary of meanings of the constants: The center is at C(h, k). The vertices are a units from the center on the transverse axis. The foci are c units from the center on the transverse axis. The values of a, b, and c are related by the equation ... Slide 2

  3. Hyperbola - Finding the Equation • Example 1: • Find the equation of the hyperbola with the given • vertices and foci ... • The first step is to plot these points on a coordinate plane. Slide 3

  4. Hyperbola - Finding the Equation • The center will be the midpoint of the line segment joining the vertices (also the foci) ... • The distance from the center to a vertex is a = 4. • The distance from the center to a focus is c = 6. Slide 4

  5. Hyperbola - Finding the Equation • Using the formula ... the value of b can be found. Slide 5

  6. Hyperbola - Finding the Equation • Summary: • Since the vertices are vertical, the hyperbola has a vertical axis ... and the equation is ... Slide 6

  7. Hyperbola - Finding the Equation • Example 2: • Find the standard form of the hyperbola given by ... • Solution: Slide 7

  8. Hyperbola - Finding the Equation • The standard form of the hyperbola is ... Slide 8

  9. Hyperbola - Finding the Equation END OF PRESENTATION Click to rerun the slideshow.

More Related