Question

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

Answer 1

Answer:

            (-1, -4.5)

Step-by-step explanation:

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

vertex is (p, q) where:

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

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