Group Event 6
The following shows the graph of $y=p x^{2}+5 x+p . A=(0,-2)$, $B=\left(\frac{1}{2}, 0\right), C=(2,0), O=(0,0)$.
G6.1 Find the value of $p$.
$$
y=p\left(x-\frac{1}{2}\right)(x-2)
$$

It passes through $A(0,-2):-2=p\left(-\frac{1}{2}\right)(-2)$.
$$
p=-2
$$