Is all of this correct?

Yes

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle (A) = width x lenght

the measures of the front wall before the door was cut:

length: 4 ft

width : 3ft

area of the door ( 2 x2 )

The area that Mickey needs to paint is equal to the area of the wall before the cut, minus the area of the door:

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

a is the right answer