Determine which model best fits the data. Then write an equation for the function that models the data.

Very nice, hectictar.......you're gonna' put me out of a job.....!!!!

Test the points in each option to determine which one fits the data.

Start by testing the first point, x = 1 and y = 3.

A. 3 =? 2(1)

    3 ≠ 2 , so option A is out.

B. 3 =? 4(1²)

    3 ≠ 4 , so option B is out.

C. 3 =? 2(1²) + 1

     3 = 3 , so option C goes to the next round.

D . 3 =? 3(1²)

     3 = 3 , so option D goes to the next round.

Test the second point, x=2 and y = 12.

C. 12 =? 2(2²) + 1

     12 ≠ 9 , so option C is out.

D. 12 =? 3(2²)

     12 = 12 , option D goes to the next round.

Option D is the only remaining choice. Quickly test the other points for D:

27 =? 3(3²)

27 = 27

48 =? 3(4²)

48 = 48

y = 3x² fits all the data.

f(x) = 3x²

I ship it!