To find the equation that represents a translation 2 units to the left of the graph of y = x, we need to understand how translations work in function transformations.
A translation to the left involves replacing the variable x in the function with x + h, where h is the number of units we want to move to the left. In this case, since we are moving 2 units to the left, we replace x with x + 2.
Therefore, the new equation will be:
y = (x + 2)
This indicates that every point on the graph of y = x is now moved 2 units to the left on the coordinate plane, thus resulting in the correct answer. So, the equation that represents the translation 2 units left of the graph of y = x is:
y = x + 2