The resulting equation of the function is f(x) = -x³ - 4
How to determine the resulting equation of the function
From the question, we have the following parameters that can be used in our computation:
The graph
The parent equation of the function represented by the graph is
f(x) = x³
This parent function is reflected across any of the axes
So, we have
f(x) = -x³
Next, it is shifted down by 4 units
So, we have
f(x) = -x³ - 4
Hence, the resulting equation of the function is f(x) = -x³ - 4