Question

Which statement describes a key difference between the graphs of f(x) = 5•e^x and f (x)= 5.5•e^x

Answer 1

Notice that

$\begin{gathered} f_1(x)=5e^x \\ f_2(x)=5.5e^x \\ \Rightarrow f_2(x)=1.1f_1(x) \end{gathered}$

We say that a vertical stretch occurs when a base graph is multiplied by a certain factor greater than 1.

As 1.1>1, f_2(x) is a vertical stretch of f_1(x)

Thus, the answer is The graphs have different vertical stretches, option A.