Question

(15 points please help)

Graph the data in the table below. Which kind of function best models the data? Write an equation to model the data.

x y
0 –3
1 –2
2 –3
3 –6
4 –11



A. linear; y = –2x – 3
B. quadratic; y = –x2 – 3
C. quadratic; y = –x2 + 2x – 3
D. exponential; y = –3 ⋅ 1.5x

Answer 1

C. You can graph it on Desmos and all the given points work. 

Answer 2

Its quadratic y = -x^2 + 2x - 3

If we plug in each value of x into the equation in C we see that they fit this equation exactly