Final answer:
The transformation includes a vertical scaling by 2, an inversion and horizontal compression due to the exponent being negative, and a vertical translation upwards by 4 units.
Step-by-step explanation:
The transformation that occurs to the equation y=2^x when it changes to y=2x^-3+4 involves several changes to the function. First, there is a multiplication by 2, suggesting a vertical scaling effect. Second, the exponent is now negative (-3), which reflects an inversion across the x-axis followed by a horizontal compression by the cube of x. Lastly, the addition of +4 translates the entire function upwards by 4 units on the y-axis. These transformations can drastically change the graph and behavior of the original function.