Final answer:
The graph of f(x) = 4^x shifted 7 units to the left results in the new equation f(x) = 4^(x+7).
Step-by-step explanation:
When the graph of the function f(x) = 4^x is shifted 7 units to the left, the new equation of the graph will be represented by f(x) = 4^(x+7). This is because in the function's equation, every x value will be increased by 7 to compensate for the leftward shift, which translates to adding 7 inside the parentheses. This transformation results in each point on the graph moving 7 units left along the x-axis.