SOLUTION: Find a quadratic function that fits the set of data points.(0,−3)​, (2,1)​, (4,1) f(x)=____?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find a quadratic function that fits the set of data points.(0,−3)​, (2,1)​, (4,1) f(x)=____?      Log On


   

Question 1114288: Find a quadratic function that fits the set of data points.(0,−3)​, (2,1)​, (4,1)
f(x)=____?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-h%29%5E2%2Bk
points (2,1)​, (4,1) mean that the vertex is on the line x=3.
y=a%28x-3%29%5E2%2Bk

Point (0,-3) makes for -3=a%280-3%29%5E2%2Bk
or 9a%2Bk=-3.
Point (2,1) gives 1=a%282-3%29%5E2%2Bk
or a%2Bk=1.

Solve this system for a and k:
system%289a%2Bk=-3%2Ca%2Bk=1%29