Chapter 4 Quadratic Functions and Factoring - 4.10 Write Quadratic Functions and Models - 4.10 Exercises - Skill Practice - Page 312: 11

$y=2(x+4)^{2}-2$

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 $a$... $y=a(x-h)^{2}+k$ $30=a(4)^{2}-2$ $32=a(4)^{2}$ $16a=32$ $a=\frac{32}{16}$ $a=2$ Therefore the function is... $y=2(x+4)^{2}-2$