Graphs of functions

Question

Graph the given functions, f, and g, in the same rectangular coordinate system. Select integers for x, starting with -2, and describe how the graph of g is related to the graph of f.

f(x)=x³, g(x)=x³-2

complete the ordered pairs in the table for f(x)=x. (-2, -1, 0, 1, 2)

Answer 1

every point in f(x)'s graph is 2 units above a point in graph of g(x)

g(x) is f(x) shifted down 2

f(-2) = -8, g(-2) = -10

(-2,-8) and (-2,-10)

f(-1) = -1, g(-1) = -3

(-1,-1) and (-1. -3)

f(0) = 0, g(0) = -2

(0,0) and (0,-2)

f(1) = 1, g(1) =-1

(1,1) and (1,-1)

f(2) = 8 g(8) = 6