The exponential function, f(x)=2^x, undergoes two transformations to g(x)=3x2^x+5. How does the graph change? Select all that apply (choose two)

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.