SOLUTION: Using {{{f(x)=-2x^2+2x+8}}}, find the x-coordinate of the vertex and the equation of the line of symmetry.

Question 130757: Using , find the x-coordinate of the vertex and the equation of the line of symmetry.
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

In turn, this means that the equation of the line of symmetry is also (since the line goes through the vertex)

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