Answer: Options A and C.
Step-by-step explanation:
The parent exponential function has the form:
[tex]f(x)=b^x[/tex]
This can be transformated as following:
When you multiply the function by a factor a ([tex]a*f(x)[/tex]) and a>0 , then the function is vertically stretched.
When you add a number k to the parent function, the function is shifted up ([tex]f(x)+k[/tex])
The parent function given in the problem is:
[tex]f(x)=2^x[/tex]
To obtain the function [tex]g(x)=3*2^x+5[/tex], the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.
Therefore, the graph is shifted up and vertically stretched.
