Final answer:
The statement regarding f(x+2) shifting the function left by 2 units is true, as is the statement that f(x)+2 shifts the function upward by 2 units. These shifts are due to adding constants inside the function's definition (horizontal shift) and to the output values (vertical shift).
Step-by-step explanation:
The statement f(x+2) means a function will be shifted left 2 units is true. This shift occurs because you are effectively adding a constant inside the function's definition, changing every x value to (x + 2), thereby shifting every point on the graph 2 units to the left. Conversely, the statement f(x)+2 means a function will be shifted up 2 units is also true. When you add a constant outside the function, you are adding this constant to the output (or y) values of the function, not the input values, which results in an upward shift of the entire graph by 2 units.