SOLUTION: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept of 1/6 and the x-intercept of 9/2, if the vertex is the point(9/2,0). f(x)=

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept of 1/6 and the x-intercept of 9/2, if the vertex is the point(9/2,0). f(x)=      Log On


   

Question 1087387: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept of 1/6 and the x-intercept of 9/2, if the vertex is the point(9/2,0).
f(x)=
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=a%28x-9%2F2%29%5E2%2B0
So when x=0,
1%2F6=a%280-9%2F2%29%5E2%2B0
a%2881%2F4%29=1%2F6
a=+%281%2F6%29%284%2F81%29+
a=2%2F243
f%28x%29=%282%2F243%29%28x-9%2F2%29%5E2
or
f%28x%29=%282%2F243%29%28x%5E2-9x%2B81%2F4%29
f%28x%29=%282%2F243%29x%5E2-%282%2F27%29x%2B1%2F6