Complete the square to determine the maximum or minimum value of the function defined by the expression. -x^2-6x+6

A. minimum value at 3

B. maximum value at 15

C. minimum value at -1

D. minimum value at -6

B. maximum value at 15

Step-by-step explanation:

-x² - 6x + 6 = 0

x² + 6x - 6 = 0

x² + 6x +    = 6

x² + 6x + 9 = 6 + 9

     (x + 3)² = 15

        x + 3 = ±√15

              x = - 3 ±√15

So the roots are centered on -3, which will be the x value of the vertex.

-(-3)² - 6(-3) + 6 = y

                 y = 15

a) t'(-3, 6) and v'(0, 3)  

step-by-step explanation:

the answer to this question is 3/19

step-by-step explanation: