SOLUTION: Find the axis of symmetry. y = x^2 + 5x - 7 Please show me how to do this. Thanks

Question 42461: Find the axis of symmetry.
y = x^2 + 5x - 7
Please show me how to do this. Thanks
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
y = x^2 + 5x - 7
There are either no real roots, one real root, or 2 real roots
To find the axis of symmetry, look at the quadratic equation
where the equation above is represented by

The roots are values for x where y = 0

notice this can be written as

separate the 2 solutions

Everything under the square root signs represent how far one root
is in the + direction from -b/2a and equally far the other root is
in the - direction from -b/2a
So, x = -b/2a is the axis of symmetry
-b/2a = -5/(2*1) = -5/2
x = -5/2 answer
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