Answer:
(2, -16)
Step-by-step explanation:
The vertex, by definition, is the max or min point of a parabola that is exactly halfway between the 2 zeros.
We have our zeros at:
x - 6 = 0 so
x = 6 and
x + 2 = 0 so
x = -2
We have our zeros at (-2, 0) and (6, 0). Half way in between those 2 x- values is the x-value 2. If we sub in a 2 for x in the binomials they gave you, you will get the y-value that goes along with that x...which in turn will represent the y value of the vertex (it's actually the k value but...):
y = (2 - 6)(x + 2) and
y = (-4)(4) so
y = -16
Therefore, the vertex of the quadratic is (2, -16)
