Final answer:
The equation for f(x) = x² shifted 2 units to the left is f(x) = (x + 2)², which represents the original graph moved to the left along the x-axis.
Step-by-step explanation:
The problem you've presented asks us to determine the equation for the graph of f(x) = x² after it has been shifted 2 units to the left. When a function's graph shifts horizontally, the x-coordinate of every point on the graph changes by the amount of the shift. To shift the graph of f(x) = x² to the left by 2 units, we add 2 to the x variable within the function. The new equation will therefore be:
f(x) = (x + 2)²
This represents the graph of the original function shifted to the left by 2 units on the x-axis.