Question

If f(x) = (x + 3)(x − 3), complete the square and determine the minimum or maximum value of the function.

Answer 1

Answer:

Minimum of -9

Step-by-step explanation:

f(x) = (x + 3)(x − 3)

Distribute:

f(x) = x² − 9

In vertex form:

f(x) = 1 (x − 0)² − 9

The leading coefficient is positive, so this is an upwards parabola, meaning the vertex is a minimum.  The vertex is at (0, -9).  So the minimum of the function is -9.