Math 2B Algebra formulas reduced

Parabolaquadratic function y ax 2 bx c f x ax 2

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Unformatted text preview: as a vertex b b at , f . 2a 2a ( y k) + 2 =1 a2 b2 Graph is an ellipse with center ( h, k ) wi th verti ces a unit s ri ght/left from the center and vertices b unit s up / do wn fr om the center. ( x h) (y k) Division by zero is undefined! 32 9 32 = 9 , (x (x ) 23 x5 a aa + b+c b c 1 x 2 + x3 x2 + x3 ( x + a) 2 x2 + a2 x + a ( x + a) n x+ a x n + a n and ( y k) 2 ( x + 1) ( 2 x + 2 ) =1 2 2 ( 2x + 2) 2 2 2 ( x + 1) 2 = 9 Watch parent hesi s! n x+a n x+n a = ( x + a )( x + a ) = x 2 + 2 ax + a 2 2 5 = 25 = 3 2 + 4 2 3 2 + 4 2 = 3 + 4 = 7 See previous error. More general versions of previous three erro rs. 2 ( x + 1) = 2 ( x2 + 2 x + 1) = 2 x 2 + 4 x + 2 a ab b c c unit s up /d own from the center and asymptotes that pass through center with b sl op e ± . a a ac b c b 2 © 2005 Paul Dawkins ( 2x + 2) 2 = 4 x2 + 8x + 4 Square first then distrib ute! See the previous example. You can no t factor out a constant if there is a power on the parethesis! 1 x2 + a2 x2 + a2 ( x h) = 1 b2 a2 Grap h is a h yperbola that opens up and do wn, has a center at ( h, k ) , vertices b Fo r a complete set of o nline Algebra no tes visit http://t uto rial.math.la mar.edu. ( 3) =...
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This document was uploaded on 02/21/2014 for the course MATH 2B at UC Irvine.

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