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LiRa [457]
3 years ago
5

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

Mathematics
1 answer:
Westkost [7]3 years ago
3 0

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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