Chapter 4 Quadratic Functions and Factoring - 4.10 Write Quadratic Functions and Models - 4.10 Exercises - Skill Practice - Page 312: 8

$y=\frac{3}{2}(x-5)^{2}-4$

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 $a$... $y=a(x-h)^{2}+k$ $20=a(1-5)^{2}-4$ $24=a(-4)^{2}$ $16a=24$ $a=\frac{24}{16}$ $a=\frac{3}{2}$ Therefore the function is... $y=\frac{3}{2}(x-5)^{2}-4$