Question

The function f (x) = 2* 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
Select a Value
the graph of g(x) is shifted horizontally
Select a Value

Answer 1

g(x) shifted vertically by 2, no horizontal shift

Explanation:

Any addition outside the function creates a vertical shift of the same value. Addition within the function moves the graph in the horizontal direction but opposite.