Chapter 4 Quadratic Functions and Factoring - 4.10 Write Quadratic Functions and Models - 4.10 Exercises - Skill Practice - Page 312: 7

$y=-(x-1)^{2}+6$

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 $a$... $y=a(x-h)^{2}+k$ $2=a(-1-1)^{2}+6$ $-4=a(-2)^{2}$ $4a=-4$ $a=-\frac{4}{4}$ $a=-1$ Therefore the function is... $y=-(x-1)^{2}+6$