SOLUTION: Write a quadratic function for the parabola that passes through the point (2, -3) with roots (-6,0)and (4,0).

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write a quadratic function for the parabola that passes through the point (2, -3) with roots (-6,0)and (4,0).       Log On


   

Question 1050228: Write a quadratic function for the parabola that passes through the point (2, -3) with roots (-6,0)and (4,0).

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-r%29%28x-s%29

The given roots make for
y=a%28x%2B6%29%28x-4%29


The given point included lets you find value for 'a'.
a=y%2F%28%28x%2B6%29%28x-4%29%29
a=-3%2F%28%282%2B6%29%282-4%29%29
a=-3%2F%288%2A%28-2%29%29
a=3%2F16


highlight%28y=f%28x%29=%283%2F16%29%28x%2B6%29%28x-4%29%29