SOLUTION: The parabola with vertex (2,-4) and passing through the point(8,6)is given by the equation y=Ax2+Bx+C, where A=_______ B=___________ C=__________

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The parabola with vertex (2,-4) and passing through the point(8,6)is given by the equation y=Ax2+Bx+C, where A=_______ B=___________ C=__________      Log On


   

Question 362086: The parabola with vertex (2,-4) and passing through the point(8,6)is given by the equation y=Ax2+Bx+C, where
A=_______ B=___________ C=__________
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the vertex form of a parabola,
y=a%28x-h%29%5E2%2Bk where (h,k) is the vertex.
y=a%28x-2%29%5E2-4
Now use the point (8,6) to solve for a.
6=a%288-2%29%5E2-4
10=a%286%29%5E2
a=10%2F36%7D%7D%0D%0A%7B%7B%7Ba=5%2F18
y=%285%2F18%29%28x-2%29%5E2-4
y=%285%2F18%29%28x%5E2-4x%2B4%29-4
y=%285%2F18%29x%5E2-%2810%2F9%29x%2B%2810%2F9%29-%2836%2F9%29
highlight%28y=%285%2F18%29x%5E2-%2810%2F9%29x-%2826%2F9%29%29