Question

How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x

Answer 1

The graph of g(x) is the graph of f(x) moved down 4 units.

Explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

`f(x) = 2^x`

`g(x) = 2^x - 4`

Thus, the graph of g(x) is the graph of f(x) moved down 4 units.