Q6SOL - MAP 103 Proficiency Algebra Quiz#6 Fall 2009 SOLUTIONS 1 Write in vertex form the quadratic function y = x 2 5 x 1 Sol Apply completing the

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Unformatted text preview: MAP 103: Proficiency Algebra, Quiz #6, Fall 2009 SOLUTIONS 1. Write in vertex form the quadratic function y = x 2 + 5 x + 1 . Sol. Apply completing the square. A computation follows. y = x 2 + 5 x + 1 0 = x 2 + 5 x + 1- 1 = x 2 + 5 x- 1 + 25 4 = x 2 + 5 x + 25 4- 4 4 + 25 4 = x + 5 2 2 21 4 = x + 5 2 2 0 = x + 5 2 2- 21 4 y = x + 5 2 2- 21 4 2. On the interval [- 4 , 4] , sketch the graph of the quadratic function y = (2 x- 3) 2- 1 . Label your graph appropriately. Clearly indicate the vertex, y-intercept and x-intercepts (if any). Sol. We are given the function already in vertex form. Hence, it follows the vertex is v = ( 3 2 ,- 1) . Since the y-component of the vertex is negative, this means the function will cross the x-axis, thus indicating it has zeros. To find these, we set y = 0 and solve for x. Note, if y = 0 , then we need only apply the square root property to solve the equation. A computation follows....
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This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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Q6SOL - MAP 103 Proficiency Algebra Quiz#6 Fall 2009 SOLUTIONS 1 Write in vertex form the quadratic function y = x 2 5 x 1 Sol Apply completing the

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