What table shows a proportional relationship between x and y?

a. x: 0,1,2 y: 2,5,8
b. x: 0,1,2 y: 0,1,4
c. x: 0,1,2 y: 0,3,6
d. x 0,1,2 y: 2,3,7

C

Step-by-step explanation:

A proportional relationship exists where the outputs and inputs have a constant of proportionality. This is a ratio of y/x that is the same between all x and y values in a table.

a. x: 0,1,2 y:2,5,8

2/0 = 0, 5/1 = 5 not proportional

b. x: 0,1,2 y:0,1,4

1/1 = 1, 4/2 = 2 not proportional

c. x: 0,1,2 y:0,3,6

3/1 = 3, 6/2 = 3 YES proportional

d. x 0,1,2 y:2,3,7

2/1 = 2, 3/2 = 1.5 not proportional

5

step-by-step explanation:

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.