Download presentation

Presentation is loading. Please wait.

1
What is it?

2
9.5 Hyperbolas Definition: A hyperbola is the set of points P(x,y) in a plane such that the absolute value of the difference between the distances from P to two fixed points in the plane, F1 and F2, called the foci, is a constant.

3
**9.5 Hyperbolas Transverse axis Conjugate Axis Vertices Co-vertices**

Center Foci Asymptotes (2a) length of V to V (2b) length of CV to CV Endpoints of TA Endpoints of CA Intersection of the 2 axes Lie on inside of hyperbola Horizontal Vertical (When centered at the origin)

4
9.5 Hyperbolas Notes: a2 is always the denominator of the ________ term when the equation is written in standard form. _________ axis can be longer or ____________ The length of the transverse axis is _________ The length of the conjugate axis is _________ a2 + b2 = c2 1st Either shorter 2a 2b

5
a2 always comes 1st!

6
Example 1: Write the standard equation of the hyperbola with vertices (-4,0) and (4,0) and co-vertices (0, -3) and (0, 3). Sketch the graph.

7
Example 2: Write the standard equation of the hyperbola with V (0,-4) (0, 4) and CV(-7, 0) (7, 0) V: CV: Foci: a= b= c= Center:

8
Example 5: Find the equation of the asymptotes and the coordinates of the vertices for the graph of Then graph the hyperbola. V: CV: Foci: a= b= c= Center:

Similar presentations

OK

Ellipses Part 1 Circle/Ellipse Quiz: March 9 Midterm: March 11.

Ellipses Part 1 Circle/Ellipse Quiz: March 9 Midterm: March 11.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google