Question

The function f(x) =2^x and g(x) =f(x)+k. If k=2, what can be concluded about the graph of g(x)? The graph of g(x) is shifted vertically... the graph of g(x) is shifted horizontally ...

Answer 1

The graph is shifted vertically by 2 units and horizontally by 0 units.

Explanation:

If k is added as 2^x + k, that's a vertical shift.

If k is added as 2^(x + k), that's a horizontal shift.

The same goes for both addition and subtraction.

I hope that helps!