Question

Y=1/2(x+4)(x-2) vertex

Answer 1

(-1, -4.5)

Explanation:

`y=\frac12(x+4)(x-2)\quad\implies\quad x_1=-4\,,\ \ x_2=2`

vertex is (p, q) where:

`p=\frac{x_1+x_2}2=\frac{-4+2}2=\frac{-2}2=-1\\\\q=f(p)=\frac12(-1+4)(-1-2)=\frac12(3)(-3)=-\frac92=-4.5`

So the vertex is: (-1, -4.5)