Transformed functions are functions that are modified by some transformation. In this question the transformation of y=[tex]e^x[/tex] that is y = [tex]e^x[/tex]+ 3.
Transformation function:
- Assume we have a function y = f(x). Further tinkering with that function transforms it.
- The given graph is 3 units higher than the graph of y = [tex]e^x[/tex] Since the vertical axis reflects the outputs of functions, whatever y = [tex]e^x[/tex], there are 3 units added to the outputs.
- As a result, we have the transformed function of y = [tex]e^x[/tex], which corresponds to the graph y = [tex]e^x[/tex] + 3.
Therefore, the transformation of the given function y= [tex]e^x[/tex] that is "y = [tex]e^x[/tex] + 3".
Learn more about the transformation of functions here:
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