Question

Suppose that g(x) = f(x) + 6. Which statement best compares the graph of

g(x) with the graph of f(x)?

Answer 1

The graph of the function is shifted 6 units above that of the graph of f.

Step-by-step explanation:

Assuming that f and g are functions that map real numbers to real numbers, the graph of f is the set

{f(x) : x in R }

and the graph of g is the set

{g(x) : x in R}

where R is the set of real numbers. Since g(x) = f(x), the graph of g is then

{f(x) + 6 : x in R}.