Answer the questions below about the quadratic function f(x)=-3x^2+12x-14?

Question

Does the function have a minimum or maximum value?

Where does the minimum or maximum value occur?

What is the function minimum or maximum value?

Answer 1

Since the coefficient of x² is negative, the function has a MAXIMUM

 

The maximum value occurs when x = -12/[2(-3)] = 2

 

Maximum value = f(2) = -3(2)²+12(2)-14 = -2