Question

The graph of which quadratic equation is shown below?

Answer 1

vertex form for a parabola with vertex (h, k) is : \(\large y=a(x-h)^2+k \)

what's your vertex? (h, k)?

Answer 2

the intercepts are x = -2 and x = 4

so these values come from the factorisied quadratic

(x + 2)(x - 4) = 0

your equation is

y = (x +2)(x -4)

just expand for your equation