Chapter 4 Quadratic Functions and Factoring - 4.10 Write Quadratic Functions and Models - 4.10 Exercises - Skill Practice - Page 313: 20

$y=(x-2)(x-5)$

We already know $y$, $x$, $p$ and $q$ from the given x-intercepts and the point, so in order to get the quadratic function we need to find $a$... $y=a(x-p)(x-q)$ $-2=a(4-2)a(4-5)$ $-2=-2a$ $a=\frac{2}{2}$ $a=1$ Therefore the function is... $y=(x-2)(x-5)$