The graph of the function g(x) is the same as the graph of the function f(x) after a translation up of 7 units. The general rule is the following: Suppose given a function f(x) and another function g(x) defined as: g(x)=f(x)+a, wherein a is a constant. Then the graph of g is the translation up of "a" unit of the graph of f.
There are four triangular sides to this square pyramid. According to the area-of-a-triangle formula, A = (1/2)(b)(h), which here is A = (1/2)(8 in)(5 in) = 20 in^2.
Thus, the total lateral (side) area is 4(20 in^2) = 80 in^2.
The area of the bottom is (8 in)^2, or 64 in^2.
Thus, the total surface area is 80 in^2 + 64 in^2, or 144 in^2.