SOLUTION: What is the equation of the axis of symmetry of the parabola. Y-2=(1/2)(x+3)^2?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What is the equation of the axis of symmetry of the parabola. Y-2=(1/2)(x+3)^2?      Log On


   

Question 965700: What is the equation of the axis of symmetry of the parabola. Y-2=(1/2)(x+3)^2?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Vertex is (-3,2) according to knowledge of the standard form equation for a parabola. The parabola for your equation has vertical axis of symmetry; this axis is highlight%28x=-3%29.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
y-2=%281%2F2%29%28x%2B3%29%5E2
y=%281%2F2%29%28x%2B3%29%5E2%2B2
parabola has an axis of symmetry which is the line that runs down its 'center' or vertex
in your case
y=%281%2F2%29%28x%2B3%29%5E2%2B2 vertex is at (h,k)=(-3,2)
so, the axis of symmetry is the line x+=+-3