SOLUTION: Find the maximum value of y=-x^2+6x. Thank you.

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Question 42021This question is from textbook
: Find the maximum value of y=-x^2+6x.
Thank you.
 This question is from textbook

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
This is a parabola that opens downward, and the vertex (maximum point) will be at x=%28-b%29%2F%282a%29. In this case, vertex is at x=+%28-6%29%2F%28-2%29=3.

If x = 3, then y = -3^2 + 6*3= -9 + 18 = 9.

Maximum value is 9. Check it out with the graph:

graph%28300%2C300%2C+-6%2C10%2C+-4%2C+12%2C+-x%5E2%2B6x%29

R^2 at SCC