Stitz-Zeager_College_Algebra_e-book

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

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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...
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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.

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