SOLUTION: I really don't understand... Find the axis of symmetry. y=x^2+5x-7 Thank you!

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Question 110042: I really don't understand...
Find the axis of symmetry.
y=x^2+5x-7
Thank you!

Found 2 solutions by edjones, josmiceli:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
y=ax^2+bx+c
y=x^2+5x-7
.
-b/2a is the formula for axis of symmetry and the maximum or minimum at x of a parabola.
-5/2=-2.5=axis of symmetry.
Look at the graph.
Ed
graph%28500%2C500%2C-7%2C4%2C-15%2C5%2Cx%5E2%2B5x-7%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Symmetry means that it looks the same on both sides of the axis.
Do you know the quadratic formula? That's how I figure out the
axis of symmetry. The formula is:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
rewite it as
x+=+%28-b+%2F+2a%29%2B-+%28sqrt%28+b%5E2-4%2Aa%2Ac+%29%2F+%282%2Aa%29%29+
The first term is the axis of symmetry, and the 2nd term gives you a
value of x on the = side and one on the - side
So find -b+%2F+2a
The equation is y+=+x%5E2+%2B+5x+-+7
This is in the form y+=+ax%5E2+%2B+bx+%2B+c
-b+%2F+2a+=+%28-5%29+%2F+%282%2A1%29
-b+%2F+2a+=+-%285%2F2%29
x = -5/2 is the axis of symmetry