Final answer:
To shift the function h(x) = 2^x one unit left and three units up, the new function is h(x) = 2^(x+1) + 3.
Step-by-step explanation:
The student is asking how to transform the function h(x)=2x to reflect a shift of one unit to the left and three units upwards. To do this, we apply transformations to the function. Shifting a graph to the left is achieved by adding 1 to the variable inside the function, and shifting it upwards is done by adding 3 to the entire function. Therefore, the transformed function will be h(x) = 2(x+1) + 3.