SOLUTION: Fid the axis of symmetry. Please show how to do this - thanks! y = -x^2 - 10x + 7

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Question 42539: Fid the axis of symmetry.
Please show how to do this - thanks!
y = -x^2 - 10x + 7

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
There are several ways to do this. You can use completing the square, you can use the formula x=-b%2F%282a%29, or you can graph it and see where the vertex is. The line of symmetry will be a vertical line whose equation is in the form of x = ____, where the value of x is the x coordinate of the vertex:

In this case, a=-1, b=-10, so x+=+-%28-10%29%2F%282%28-1%29%29+=-5

Final answer is the vertical line, x=-5.

Another method is to find the x intercepts. The vertex will always be midway between the x intercepts.

Check with the graph: +graph%28300%2C300%2C-10%2C2%2C-10%2C30%2C+-x%5E2-10x%29+

R^2 at SCC