Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 249: 62


One that opens upwards: $y=x^2+\frac{13}{2}x+\frac{15}{2}$ One that opens downwards: $y=-x^2-\frac{13}{2}x-\frac{15}{2}$

Work Step by Step

Use: $y=a(x-x_1)(x-x_2)$, where $x_1$ and $x_2$ are the $x$ of the x-intercepts. $y=a[x-(-\frac{3}{2})][x-(-5)]=a(x^2+5x+\frac{3}{2}x+\frac{15}{2})=a(x^2+\frac{13}{2}x+\frac{15}{2})$ One that opens upwards ($a\gt0$). $y=1(x^2+\frac{13}{2}x+\frac{15}{2})=x^2+\frac{13}{2}x+\frac{15}{2}$ One that opens downwards ($a\lt0$). $y=-1(x^2+\frac{13}{2}x+\frac{15}{2})=-x^2-\frac{13}{2}x-\frac{15}{2}$
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