Question

I need assistance with "What does the area of the rectangle depend on", the graph section, and the relationship section.

Answer 1

The area equation here is:

$A=2w^2$

That means that the area depends on the width measurement of the rectangle.

To graph a quadratic function you have to see if the parabole is positive and the transformations, in this case, are positive and have a multiplication by two, which means that the graphics in x=1 and x=-1 will be y=2

Finally, you can conclude that there, you have a relationship between the area and the width of the rectangle because is a quadratic relationship and the area will increase in a quadratic form according to the increase of the width.