Question

Choose the function that represents the data in the table.



y = x2
y = 3x2
y = x2 + 3
y = 2x + 3

Answer 1

I don’t see the table. Could you paste the x–y pairs?

If you want to check quickly yourself, use this:

- If x values are consecutive integers, compute first differences (change in y). If the first differences are constant, the relation is linear (candidate: y = 2x + 3). If the constant first difference equals 2 and y at x = 0 equals 3, then y = 2x + 3.

- If first differences are not constant, compute second differences. If the second differences are constant:
- second difference = 2 → y = x^2 + C for some constant C. Find C from y when x = 0 (C = y(0)).
- second difference = 6 → y = 3x^2 + C. Find C from y(0).

Alternatively, test each candidate directly: for each x in the table compute y using each formula and see which matches every table value.

Paste the table and I’ll pick the correct function.