Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.7 Graphing Quadratics from Standard Form - 4.7 Exercises - Page 385: 4

Answer

Graph A: $y = -0.5 x^2-x+7$ Graph B: $y = x^2+4 x+4$ Graph C: $-2 x^2-6 x-7$ None: $y=x^2-5 x-6$

Work Step by Step

Graph A can be matched with the parabola $$y=-x^2+20.$$ This is because it opens downward, $a= -1$, and has a $y$-intercept of about $(0,20)$. Graph B matched with $$y=x^2-7.$$ It opens upward $y$-intercept: $(0,-7)$. Graph C matched with $$y=x^2.$$ It opens upward $y$-intercept: $(0,0)$. Matched with none: $$y=-x^2.$$ It opens downward $y$-intercept: $(0,0)$.
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