SOLUTION: Determine the quadratic equation for the parabola: maximum value: 9; zeros of f: -6 and 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Determine the quadratic equation for the parabola: maximum value: 9; zeros of f: -6 and 0       Log On


   

Question 749162: Determine the quadratic equation for the parabola:
maximum value: 9; zeros of f: -6 and 0


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Since you have a maximum value, your variable, 'a', is negative. Use standard form.

y=a%28x%2B3%29%5E2%2B9
but you would use the zeros to help find the value for 'a'. Right in the middle of -6 and 0 is -3, which is why you have (x+3) as part of the standard form. Vertex is (-3,9).

The zeros give two more equations which may help in finding 'a'.
(-6,0) gives us 0=a%28-6%2B3%29%5E2%2B9
(0,0) gives us 0=a%280%2B3%29%5E2%2B9.
What can you do with that? Can YOU finish this?