IA_GPS_37 - Step 3: Find the x-intercepts (if any) and...

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R0907 a.s. http://faculty.valenciacc.edu/ashaw/ INTERMEDIATE ALGEBRA GPS # 37 8.1 QUADRATIC FUNCTIONS AND THEIR GRAPHS NAME: Useful Guidelines: * Quadratic Function: 2 ( ) ,( 0) f x ax bx c a = + + ! , where a , b and c are real numbers. * The vertex of the graph of 2 ( ) ,( 0) f x ax bx c a = + + ! has coordinates ) , ( y x = , 2 2 b b f a a ! " # # ! " $ % $ % . * To graph a quadratic function: Step 1: Determine whether the parabola opens up or down. [ If 0 a > , the parabola is open up; If a < 0, the parabola is open down.] Step 2: Find the vertex.
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Unformatted text preview: Step 3: Find the x-intercepts (if any) and y-intercept. Step 4: Plot the graph. [Find additional points as needed.] Graph each parabola, Give the vertex, axis, domain, and range. 1. 2 ( ) 4 3 f x x x = ! + 2. 5 8 4 ) ( 2 ! + ! = x x x f 3. A rocket is fired upward. After x hour, the height of the rocket is given by x x x f 32 16 ) ( 2 + ! = . Find the time required in hours for the rocket to reach maximum height, and find the maximum height in kilometers....
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This note was uploaded on 10/18/2011 for the course MAC 1103 taught by Professor Shaw during the Summer '11 term at Valencia.

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