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