11.3 Ellipse

# 11.3 Ellipse - 11.3 The Ellipse Equations given center(h k...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 11.3: The Ellipse Equations, given center (h, k), a = distance from center to vertex, b = distance from center to point on minor axis, c = distance from center to either foci, c 2 = a 2 – b 2 , a > b > 0, and major axis equal or parallel to: [1] x-axis ( 29 ( 29 x h y k a b 2 2 2 2 1-- + = [2] y-axis: ( 29 ( 29 x h y k b a 2 2 2 2 1- - + = (Note: If a = b, then F 1 = F 2 and we have a circle.) Find the vertices and foci of each ellipse. Graph each equation. 1. x y 2 2 1 9 4 + = 2. 4y 2 + 16x 2 = 32 Write an equation for each ellipse: 3. Ctr: (0, -3) 4. Ctr: (-2, 2) Find the center, vertices, and foci of each ellipse; graph it. (Hint: define a and b) 5. 9(x - 3) 2 + (y + 2) 2 = 18 6. 5x 2 + 10y 2 + 20x – 20y - 10 = 0 7. The arch of a bridge is a semiellipse with a horizontal major axis. The span is 50 feet, and the top is 20 7....
View Full Document

## This note was uploaded on 01/04/2012 for the course MAC 1147 taught by Professor Staff during the Fall '08 term at Miami Dade College, Miami.

### Page1 / 3

11.3 Ellipse - 11.3 The Ellipse Equations given center(h k...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online