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: