Complete the square to determine the minimum or maximum value of the function defined by the expression.

x2 − 12x − 2

a) maximum value at 38 b) minimum value at 38 c) maximum value at −38 d) minimum value at −38

Option D. minimum value at −38

Step-by-step explanation:

we have

Let

Complete the square

------> equation of a vertical parabola in vertex form

The vertex is the point

The parabola open upward-----> the vertex is a minimum

therefore

minimum value at −38

the line of

step-by-step explanation: