SOLUTION: Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.
f(x) = -x2 - 2x - 6
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Question 698381: Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.
f(x) = -x2 - 2x - 6
Answer by Simnepi(216) (Show Source): You can put this solution on YOUR website!
to find whether a maximum or minimum differentiate the function twice
f'(x) = -2x - 2
f''(x) = -2
since this is <0 the point is a local maximum
at local atationary points f'(x) = 0
so -2x - 2 = 0
which gives -2x = 2
therefore x = -1 (your x coordinate)
substitute this value into the original equation
f(x) = -(-1)^2 - 2(-1) - 6
f(x) = -5 (your y coordinate)
therefore the coordinates are (-1,-5) and it's a maximum
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