Compare and contrast the graphs of the functions f(x) = |x| and g(x) = |x| + 2.

Question

Compare and contrast the graphs of the functions f(x) = |x| and g(x) = |x| + 2.

Thank you [3.6_10]

Answer 1

f(x) is a V shaped graph with minimum point = vertex = the origin

g(x) is an identical graph but with minimum point = vertex = (0,2)

Answer 2

The graph of g(x) = lxl + 2 is the graph of f(x) = lxl translated 2 units upward.