Question

F(x)=7^x, g(x)=7^x +6, which statements about f(x) and its translation g(x), is true

Answer 1

g(x) is f(x) translated six units up.

Explanation:

Transformations of functions occur when a curve representing a graph translates, stretches, compresses, reflects, etc. If the original graph is f(x), the transformed graph should be called g(x) or something of the sort to reflect the change.

In this case, we have f(x) = 7^x and g(x) = 7^x + 6. Clearly, g(x) = 7^x + 6 is obtained by translating, or moving, f(x) = 7^x six units up. You can use Desmos or a graphing calculator to confirm this.