what are the vertext and x-intercept of the graph of y = (x+4) (x-2) ? select one answer for the vertext and one for the x-intercepts

x-intercepts (-4, 0) and (2,0)

Vertex is ( - 1, - 9)

Step-by-step explanation:

X - intercepts

y=0

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

x = - 4, x = 2 or at can be written as (-4, 0) and (2,0)

Vertex

y = (x+4) (x - 2) = x² - 2x + 4x - 8 = x² + 2x - 8²

y = x² + 2x - 8

To find vertex we need to write equation in vertex form by completing square.

y = x²+2x - 8 = x² + 2*1*x + 1² - 1² - 8 = (x+1) ² - 9

y = (x+1) ² - 9

Vertex is ( - 1, - 9).