Answer: [tex]f(x)=5*2^{x}[/tex]
Step-by-step explanation: When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression. So,if we want to stretch the given function by a factor of 5, we just need to multiply such function by 5:
Original function:
[tex]f(x)=2^{x}[/tex]
Stretched function:
[tex]f(x)=5*2^{x}[/tex]
