Question

If fyou vertically stretch the exponential function f(x) = 2^x by a factor of 5, whatis the equation of the new function?O A. f(x) = 7^xB. f(x) = 5(2^x)C. f(x) = 2(5x)O D. f(x) = 10^x

Answer 1

`\begin{gathered} B)f(x)=5(2^x) \\ \end{gathered}`

Step-by-step explanation

a stretch or compression occurs when we multiply the parent function for a constant, if the constant si greater than 1, it is a stretch

so

Step 1

to find the new function, multiply the original function by the constant

Let

constant= 5

function

`f(x)=2^x`

so

`\begin{gathered} \text{new function} \\ f(x)=5(2^x) \end{gathered}`

so, the answer is B