Question

Use the tables to answer the question.

Information
Table A
x y
negative 2
one-sixteenth

negative 1 one-fourth
0 1
1 4
2 16

,begin bold,Table B,end bold,
x y
negative 2 8
negative 1 4
0 0
1 4
2 8

Table C
x y
negative 2 negative 8
negative 1 negative 1
0 0
1 1
2 8

Table D
x y
negative 2 negative 4
negative 1 negative 1
0 0
1 1
2 4

Table E
x y
negative 2 5
negative 1 2
0 1
1 2
2 5

Question
Which table represents a quadratic relationship between x and y ?

Answer options with 5 options
A.
Table A

B.
Table B

C.
Table C

D.
Table D

E.
Table E

Answer 1

E. Table E.

Reason: the values fit y = x^2 + 1: for x = -2,-1,0,1,2 we get y = 4+1=5, 1+1=2, 0+1=1, 1+1=2, 4+1=5.