SOLUTION: The graph of a cubic function has a local minimum at (5,-3) and a point of symmetry at (0,4). At what point does a local maximum occur?

Question 1091982: The graph of a cubic function has a local minimum at (5,-3) and a point of symmetry at (0,4). At what point does a local maximum occur?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

I have not seen the idea of a point of symmetry being used with a polynomial function. If you are talking about a point of symmetry in the usual sense, then the question you ask is easily answered.

The given local minimum is 5 units to the right and 7 units below the point of symmetry; there must be a local maximum 5 units to the left and 7 units above the point of symmetry. 5 units left and 7 units up from (0,4) is at (-5,11)
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