SOLUTION: Find the x and y coordinates of the vertex {{{f(x)=-2x^2+2x+6}}}

Question 131896: Find the x and y coordinates of the vertex
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find the x-coordinate of the vertex, we can use this formula:

From the equation we can see that a=-2 and b=2

Plug in b=2 and a=-2

Multiply 2 and -2 to get -4

Reduce

So the x-coordinate of the vertex is .

This also means that the line of symmetry is .

Now lets plug this into the equation to find the y-coordinate of the vertex.

Lets evaluate

Start with the given polynomial

Plug in

Square to get

Multiply -2 by to get

Multiply 2 by to get 1

Combine like terms

So the vertex is

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Answer:

This means that the x-coordinate of the vertex is

and the y-coordinate of the vertex is

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