Answer:
Step-by-step explanation:
h(x) = x^2 -8x+12
a =1 b=-8 c =12
What 2 numbers multiply together to give us 12 and add together to give us -8
-6*-2 = 12
-6+-2 = -8
(x-6) (x-2) = 0
Using the zero product property
x=6 and x=2
The zeros are x = 6 and x=2
h(x) = (x-6) (x-2)
the axis of symmetry is
h = -b/2a = - -8/2(1) = 8/2 = 4
x=4
h(4) = 4^2 -8(4)+12 =16-32+12 = -4
The vertex is at (4,-4) which is the minimum
=The y intercept is at (0,c) which is (0,12)
