Final answer:
The transformation of the function from f(x) = x to f(x) = x + 6 results in the graph shifting 6 units upward.
Step-by-step explanation:
When we look at the transformation of functions, we can understand how various modifications affect the graph of the function. A function of the form f(x) = x is our base function here. Let's examine the function f(x) = /+6, which seems to have a typographical error and likely meant to express a transformation of x, such as f(x) = x + 6. Assuming that is the correct interpretation, when we compare it to f(x) = x, the added 6 indicates a vertical shift of the function.
From algebra, we know that adding a constant to the function results in a vertical shift. Specifically, f(x) = x + 6 would result in the graph of f(x) = x shifting 6 units upward. This occurs because each output value y of f(x) is increased by 6 over the entire domain of x.