Optional extension The graph shown has equation $y=a(x-b)(x-c)$, where $bc$. $(c,0)$ \((b,0)\

Question

Optional extension The graph shown has equation $y=a(x-b)(x-c)$, where $b>c$. $(c,0)$ $(b,0)$ $(0,-8)$ $V$

Accepted Answer

(a) $a=1,b=4,c=-2$, so $y=x^2-2x-8$ (b) $V=(1,-9)$.

Recovering a factored quadratic from its graph