Answer
$y=(x+6)(x+4)$
Work Step by Step
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 $a$...
$y=a(x-p)(x-q)$
$3=a(-3+6)a(-3+4)$
$3=3a$
$a=\frac{3}{3}$
$a=1$
Therefore the functions is...
$y=(x+6)(x+4)$