The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is 
<u>Solution:</u>
Given, expression is 
We have to factorize the given expression completely.
Now, take the expression

Taking
as common term,

Taking "a" as common term,

Taking "6" as common term,

Splitting "3a" as "4a - a" we get,


Hence, the factored form of given expression is 
B
given f(x) in factored form, equate to zero for x-intercepts
(x - 8)(x - 4) = 0, hence
x = 4, x = 8 ← x- intercepts
The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts
x- coordinate of vertex =
= 6
f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate
vertex = (6, - 4 ) → B
6
Range is the difference of min and max y values
Answer:
Answer with explanation and steps are in the following attachment.
Step-by-step explanation: