SOLUTION: Help please, show all work. Find the axis of symmetry and the vertex of the graph of y=3x^2+12x+8. thank you.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Help please, show all work. Find the axis of symmetry and the vertex of the graph of y=3x^2+12x+8. thank you.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 859077: Help please, show all work.
Find the axis of symmetry and the vertex of the graph of y=3x^2+12x+8.
thank you.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You could try completing the square and adjust the equation into standard form.
This would start as
y=3%28x%5E2%2B4x%2B8%2F3%29, and the term to add and subtract is 4.
y=3%28x%5E2%2B4x%2B4%2B8%2F3-4%29
y=3%28%28x-2%29%5E2%2B8%2F3-12%2F3%29
y=3%28%28x-2%29%5E2-4%2F3%29
highlight%28y=3%28x-2%29%5E2-4%29 ------ and read what you need directly from this.

Standard Form for Parabola, y=a%28x-h%29%5E2%2Bk
Vertex (h,k)
Symmetry Axis, x=h