Using translation concepts, it is found that the correct option is given by:
a. The exponential function would be vertically stretched factor 2, translated right 3 and up 1.
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the exponential function [tex]y = 4^x[/tex] is:
- Vertically stretched by a factor of 2, as it is multiplied by 2.
- Shifted right 3 units, as x -> x - 3.
- Shifted up 1 unit, as y -> y + 1.
More can be learned about translation concepts at https://brainly.com/question/4521517
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