Answer:
The function is 1/4x^2 + x - 8
Step-by-step explanation:
In Factor form the function is
a(x + 8)(x - 4) where a is a constant to be found.
= a( x^2 + 4x - 32) Note the coefficient of x is positive because the function has a minimum value.
The line of symmetry is x = (-8+4)/2 = -2.
So the minimum value will be the value of f(x) when x = -2, so we have the equation
a(-2+8)(-2-4) = -9
-36a = -9
a = 1/4.
