Question

I only need assistance with the list of ordered pairs, writing an equation, and making the graph.

Answer 1

Given:

`a=2w^2`

Therefore:

For w = 0,

`a=2(0)^2=0`

For w = 1,

`a=2(1)^2=2(1)=2`

For w = 2,

`a=2(2)^2=2(4)=8`

For w = 3,

`a=2(3)^2=2(9)=18`

For w = 4,

`a=2(4)^2=2(16)=32`

For w = 5,

`a=2(5)^2=2(25)=50`

For w = 6,

`a=2(6)^2=2(36)=72`

Answer: list of ordered pairs

(0,0)

(1,2)

(2,8)

(3,18)

(4,32)

(5,50)

(6,72)

Next, the equation that models this situation is:

`y=2x^2`

Graphing: