What effect does replacing x with x + 2 have on the graph for the function f(x) ?

f(x)=|x−3|+2

the graph is shifted 2 units left.
the graph is shifted 2 units down.
the graph is shifted 2 units right.
the graph is shifted 2 units up.

Step-by-step explanation:

The vertex of f(x)=|x−3|+2 is at (3, 2).

Replacing x with x+2 results in g(x) = f(x)=|(x+2)−3|+2, or

g(x) = f(x)=|x+2−3|+2, or

g(x) = f(x)=|x - 1|+2     The vertex of this graph is at (1, 2).

The effect of replacing x with x + 2 is a horizontal shift to the left, of 2 units,  of the original graph.