Question

Which quadratic function best fits this data?

x y
1 32
2 78
3 178
4 326
5 390
6 337



A. y=11.41x2+154.42x−143.9

B. y=−11.41x2+154.42x−143.9

C. y=11.41x2+154.42x+143.9

D. y=−11.41x2+154.42x+143.9

Answer 1

The answer is B.

Explanation:

Please see attached plot and the best fit is B.

Answer 2

B

Explanation:

choices are:

A. y=11.41x2+154.42x−143.9

B. y=−11.41x2+154.42x−143.9

C. y=11.41x2+154.42x+143.9

D. y=−11.41x2+154.42x+143.9

substitute x=1

A. y=11.41+154.42−143.9 =~25

B. y=−11.41+154.42−143.9 =~0

C. y=11.41+154.42+143.9 =~310

D. y=−11.41+154.42+143.9 =~290

C n D are way off n cannot be right.

substitute x=5 in A n B

A: y=11.41(5)^2+154.42(5)−143.9= ~913

B: y=−11.41(5)^2+154.42(5)−143.9 = ~343

so ans is B