Question

Suppose that g(x) = f(x) + 5. Which statement best compares the graph ofg(x) with the graph of f(x)?

Answer 1

We are told that

`g(x)=f(x)+5`

If we were given the graph of f(x), note that in this equation we add 5 to the value of f(x) to find the value of g(x). So, in terms of the graph, as we are taking the final value of f and adding 5, this means that we are moving the graph of f 5 units up. That is the graph of g(x) is the graph of f(x) shifted 5 units up