Chapter 4 Quadratic Functions and Factoring - 4.10 Write Quadratic Functions and Models - 4.10 Exercises - Quiz for Lessons 4.8-4.10 - Page 315: 10

$y=(x-5)^{2}+7$

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 $a$... $y=a(x-h)^{2}+k$ $11=a(3-5)^{2}+7$ $4=a(-2)^{2}$ $4=4a$ $a=\frac{4}{4}$ $a=1$ Therefore the function is... $y=(x-5)^{2}+7$