Download presentation

Presentation is loading. Please wait.

Published byMaurice Todd Modified over 4 years ago

1
Table of Contents Ellipse - Finding the Equation Recall that the two equations for the ellipse are given by... Horizontal EllipseVertical Ellipse

2
Table of Contents Slide 2 Ellipse - Finding the Equation Summary of meanings of a, b, h, and k: The end points of the minor axis are b units from the center. The vertices are a units from the center on the major axis. The center is at C(h, k). The foci are c units from the center on the major axis.

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

4
Table of Contents Slide 4 Ellipse - 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 = 6. The distance from the center to a focus is c = 4.

5
Table of Contents Slide 5 Ellipse - Finding the Equation Using the formula... the value of b can be found.

6
Table of Contents Slide 6 Ellipse - Finding the Equation Summary: Since the vertices are vertical, the ellipse is vertical... and the equation is...

7
Table of Contents Slide 7 Ellipse - Finding the Equation Example 2: Find the standard form of the ellipse given by... Solution:

8
Table of Contents Slide 8 Ellipse - Finding the Equation The standard form of the ellipse is...

9
Table of Contents Ellipse - Finding the Equation

Similar presentations

© 2019 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