Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.10 Write Quadratic Functions and Models - 4.10 Exercises - Skill Practice - Page 312: 9



Work Step by Step

We already know $y$, $x$, $k$ and $h$ from the given vertex and point, so in order to get the quadratic function we need to find $a$... $y=a(x-h)^{2}+k$ $-1=a(1+3)^{2}+3$ $-4=a(4)^{2}$ $16a=-4$ $a=-\frac{4}{16}$ $a=-\frac{1}{4}$ Therefore the function is... $y=-\frac{1}{4}(x+3)^{2}+3$
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