SOLUTION: Determine whether there is a maximum or minimum value for the given function, and find that value. f(x) = x2 + 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) = x2 + 8x + 13      Log On


   



Question 316856: Determine whether there is a maximum or minimum value for the given function, and find that value.
f(x) = x2 + 8x + 13

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%5E2+%2B+8x+%2B+13
.
Since the coefficient associated with the x%5E2 term is POSITIVE (think "happy face"), we KNOW that it is a parabola that opens upwards -- therefore there will be a MINIMUM.
.
The minimum then corresponds to the "vertex".
Axis of symmetry:
x = -b/(2a) = -8/2 = -4
.
f%28-4%29+=+%28-4%29%5E2+%2B+8%28-4%29+%2B+13
f%28-4%29+=+16+-+32+%2B+13
f%28-4%29+=+-3