A quadratic function has x intercepts 2 and -3 crosses the y axis at -1.

What is the equation?

2. Let $f(x)=ax^2+bx+c$

We have

$f(2)=0\Rightarrow 4a+2b+c=0$

$f(-3)=0\Rightarrow 9a-3b+c=0$

$f(0)=-1\Rightarrow c=-1$

Now find a, b.