SOLUTION: i need to write a function for the following data. (0,2)(1,0)(2,0)(3,2)(4,6)

Algebra ->  Functions -> SOLUTION: i need to write a function for the following data. (0,2)(1,0)(2,0)(3,2)(4,6)      Log On


   



Question 286268: i need to write a function for the following data.
(0,2)(1,0)(2,0)(3,2)(4,6)

Found 2 solutions by richwmiller, oberobic:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
let's see
when x=1 or x=2 then y=0
when x=0 or x=3 then y=2
when x=4........then y=6

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
A good way to start is a scatter plot to see how the data points are distributed.
.

.
That looks like a parabola, so you're trying to fit a set of points to a quadratic equation.
.
y = x^2
.
But we can see the graph needs to be shifted to the right by about 3/2 and it needs to drop by about -1/3.
.
So it looks like:
.
y = (x-3/2)^2 - 1/3
.
Graphing we find.
.

.
Looks like a pretty good fit to me...
.
Done.