SOLUTION: Find the equation of parabola with a vertex at (2,-12) that passes through the point (0,0). Can you please help me out? Thanks in advance.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find the equation of parabola with a vertex at (2,-12) that passes through the point (0,0). Can you please help me out? Thanks in advance.      Log On


   



Question 696260: Find the equation of parabola with a vertex at (2,-12) that passes through the point (0,0).
Can you please help me out? Thanks in advance.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If the vertex is (2,-12) and it passes through the origin, then symmetry says it must also pass through (4,0).

The general form of a parabola function is



So, if when , then



and if when , then



and if when , then



Solve the 3X3 linear system to get the coefficients a, b, and c. Use them to write your equation by substituting into:



John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism