SOLUTION: Find the maximum value of y=x squared+6x

Question 90260This question is from textbook
: Find the maximum value of y=x squared+6x This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Are you sure it's not the minimum? No maximum occurs on the graph of . Well here's the solution to find the minimum

The minimum value occurs at the vertex of the graph

First determine the x-value of the vertex:

Here is the general formula to find the x-value of the vertex

From the equation we can see that a=1 and b=6

Plug in b=6 and a=1

Multiply 2 and 1 to get 2

Reduce

So the x-coordinate of the vertex is . Lets plug this into the equation to find the y-coordinate of the vertex.

Lets evaluate

Start with the given polynomial

Plug in

Raise -3 to the second power to get 9

Multiply 6 by -3 to get -18

Now combine like terms

So the vertex is (-3,-9)

So the minimum value is -9

If we graph , we can clearly see the minimum value

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