CA_GPS_12 - Vertex: ( h ,0). * k h x a x f + ! = 2 ) ( ) (...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 12 2.1 QUADRATIC FUNCTIONS; PARABOLAS II Class Time: ____________ Date: __________ Useful Guidelines: * 2 ( ) f x x k = + : A parabola with the same shape as the graph of 2 ( ) f x x = . The parabola is shifted vertically k units up if k > 0 or k units down if k < 0; Vertex: (0, k ). * 2 ( ) ( ) f x x h = ! : A parabola with the same shape as the graph of 2 ( ) f x x = . The parabola is shifted horizontally h units to the right if h > 0 or h units to the left if h < 0;
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Unformatted text preview: Vertex: ( h ,0). * k h x a x f + ! = 2 ) ( ) ( : The parabola is open upward if a &gt; 0 or open downward if a &lt; 0. The axis of symmetry is h x = ; Vertex: ( h , k ). Graph each parabola. Plot at least two points in addition to the vertex. Give the vertex, axis, domain, and range. 1. a) 2 ( ) 5 f x x = + b) 2 ( ) 8 f x x = ! 2. a) 2 ( ) 3 f x x = ! + b) 2 ( ) 2 7 f x x = ! ! 3. a) 2 ( ) ( 7) f x x = ! b) 2 ( ) 2( 1) f x x = ! + 4. a) 2 ( ) ( 3) 2 f x x = ! + b) 2 ( ) 3( 1) 1 f x x = ! !...
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