SOLUTION: Determine whether there is a maximum or minimum value for the given function, and find that value. f(x) = x^2 + 8x + 13

Algebra ->  Test  -> Lessons -> SOLUTION: Determine whether there is a maximum or minimum value for the given function, and find that value. f(x) = x^2 + 8x + 13      Log On


   



Question 316860: Determine whether there is a maximum or minimum value for the given function, and find that value.
f(x) = x^2 + 8x + 13

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form by completing the square,
f%28x%29+=+x%5E2+%2B+8x+%2B+13
f%28x%29+=+%28x%5E2+%2B+8x%2B16%29+-3
f%28x%29=%28x%2B4%29%5E2-3
The minimum value occurs at the vertex.
fmin=f%28-4%29=-3
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