Answer
Part a: To obtain the graph of f(x) - 1, you move graph f(x)=x, or y=x, down 1 point on your graph.
Part b: To obtain the graph of f(x-2), you move the graph f(x)=x, or y=x to the right by 2.
Work Step by Step
Part a:To explain further, f(x) is symbolic to "y." That being said, y=x is the equation you want to follow, however, after graphing this function, you want to make a downward shift to complete the f(x) - 1 function.
Part b: To explain further, f(x) is symbolic to "y." That being said, y=x is the equation you want to follow, however, after graphing this function, you want to shift to the right by 2 to complete the f(x-2) function.