Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 8 - Graphing Quadratic Functions - 8.1 - Graphing f(x) = ax^2 - Exercises - Page 424: 23

Answer

$f$ can include $(-2,3)$ $a=\frac{3}{4}$

Work Step by Step

$(-2,3)$ is in second quadrant, so only the function $f$ could go through this point. $$f(x)=ax^2$$ Substitute $x=-2$ and $f(x)=3$ to find $a$: $$3=a(-2)^2$$ $$3=4a$$ $$a=\frac34$$
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