Final answer:
To calculate f(-3) for the function f(x) = -x^2 + 6x, we substitute -3 into the function, perform the exponentiation, multiply, then add the values which results in f(-3) equalling -27.
Step-by-step explanation:
The student has asked to find the value of the function f(x) = -x2 + 6x when x is -3. To solve for f(-3), we substitute -3 into the function:
Step 1: Substitute -3 into the function.
f(-3) = -(-3)2 + 6(-3)
Step 2: Perform the exponentiation.
f(-3) = -9 + 6(-3)
Step 3: Multiply and then sum the values.
f(-3) = -9 - 18 = -27
Thus, the value of f(-3) is -27.