f(x) = 2x + 1; Paren graph = x;
The graph was shifted one unit up and stretched 2 times.
g(x) = -8(x+4) - 1 = -8x - 32 - 1 = -8x - 33
The graph was shifted 33 units down and stretched 8 times and flipped 180 degrees.
See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,

W= Width
L= Length
2L+2w=52
2W-4=L
Plug in L into the first equation
2(2W-4)+2w=52
4w-8+2w=52
6W=60
W=10 feet
Plug that into the second equation
2(10)-4=L
L=16
Penny + 2 friends = 3 people
3(1/6) = 3/6 = 1/2
They ate 1/2 of the cake.