9514 1404 393
Answer:
f(x) = 2x^2 -12x +16
Explanation:
The zeros tell you the factored form is ...
f(x) = a(x -2)(x -4)
Then f(3) is ...
f(3) = -2 = a(1)(-1) = -a
a = 2
So the factored function is ...
f(x) = 2(x -2)(x -4)
Expanded to standard form, we get ...
f(x) = 2x^2 -12x +16