SOLUTION: Find the equation of the parabola with a vertex at (2,-12) that passes through (0,0) Can you please help me out? Thanks so much in advance:) Can you please show all the steps i

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the equation of the parabola with a vertex at (2,-12) that passes through (0,0) Can you please help me out? Thanks so much in advance:) Can you please show all the steps i      Log On


   

Question 788642: Find the equation of the parabola with a vertex at (2,-12) that passes through (0,0)
Can you please help me out? Thanks so much in advance:)
Can you please show all the steps it would really help me understand better thank you:)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Standard form would be helpful, y=a%28x-h%29%5E2%2Bk. The vertex is the point, (h,k). You have in this format, y=a%28x-2%29%5E2-12 and using the other given point, the origin, form the equation 0=a%280-2%29%5E2-12 allowing to find the value for "a".

0=4%2Aa-12
4a=12
a=3

Finish the values in the standard form equation:
highlight%28y=3%28x-2%29%5E2-12%29