Question

I really need help can someone please answer?

The points (0,3), (1,8), (2,17), and (3,30) are on the graph of a function. Which of the following equations represents that function?
a.2x^{2}-3x+3
b.2x^{2}+3x-3
c.2x^{2}-3x-3
d.2x^{2}+3x+3

Answer 1

• D. 2x^{2}+3x+3

Explanation:

Use the ordered pairs to determine the correct function

Point (0, 3)

• x = 0 and y = 3- options A or D, the others result in y = -3

Point (1, 8)

x = 1, y = 8 - option A.

• 2*1^2 - 3*1 + 3 = 2 - incorrect

It leaves us with option D

• 2*1^2 +3*1 + 3 = 8 - correct

Check other two pairs as well:

• 2*2^2 + 3*2 + 3 = 17
• 2*3^2 + 3*3 + 3 = 30

This confirms option D is correct