SOLUTION: Find the axis of symmetry. y = x^2 + 7x + 10

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the axis of symmetry. y = x^2 + 7x + 10       Log On


   



Question 89086: Find the axis of symmetry.
y = x^2 + 7x + 10

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the axis of symmetry.
y = x^2 + 7x + 10
-----------
Complete the square on the xFind the axis of symmetry.
y = x^2 + 7x + 10-terms.
x^2+7x+(7/2)^2 = y-10+(7/2)^2
Factor to get:
(x+(7/2))^2 = y+(9/4)
Vertex is at (-7/2,-9/4) so
axis of symmetry is x=-7/2
-------------
graph%28400%2C300%2C-10%2C10%2C-5%2C30%2Cx%5E2%2B7x%2B10%29
Cheers,
Stan H.