Stitz-Zeager_College_Algebra_e-book

# By setting x2 x a2 2 2 b b b y b2 c2 a2 we get 2 2

This preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: 406 Hooked on Conics 2. (a) (x − 2)2 + (y + 5)2 = 4 Center (2, −5), radius r = 2 9)2 y2 (b) (x + + = 25 Center (−9, 0), radius r = 5 (c) (x + 4)2 + (y − 5)2 = 42 √ Center (−4, 5), radius r = 42 3. (a) (x − 3)2 + (y − 5)2 = 65 (b) (x − 3)2 + (y − 6)2 = 20 5. x2 + (y − 72)2 = 4096 (d) x + 52 2 + y− 12 2 30 4 = 5 Center − 2 , 1 , radius r = 2 (e) x2 + (y − 3)2 = 0 This is not a circle. 2 2 (f) x + 1 + y − 3 = 161 2 5 100 1 Center − 2 , 3 , radius r = 5 (c) (x − 1)2 + (y − 5)2 = 5 (d) (x − 1)2 + y − 32 2 = 13 2 √ 30 2 √ 161 10 7.3 Parabolas 7.3 407 Parabolas We have already learned that the graph of a quadratic function f (x) = ax2 + bx + c (a = 0) is called a parabola. To our surprise and delight, we may also deﬁne parabolas in terms of distance. Definition 7.3. Let F be a point in the plane and D be a line not containing F . A parabola is the set of all points equidistant from F and D. The point F is called the focus of the parabola and the line D is called...
View Full Document

## This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online