Question

If you vertically stretch the exponential
function f(x) = 2* by a factor of 3, what is the
equation of the new function?
0 g(x) = 2 • 3x
0 g(x) = ⅓ • 2x
0g(x) = 23x
0 g(x) = 3 • 2x

Answer 1

To vertically stretch the function \( f(x) = 2^x \) by a factor of 3, you multiply the entire function by 3.

Thus, the new function \( g(x) \) will be:

\[
g(x) = 3 \cdot 2^x
\]

So, the correct option from the given choices is:

\[
g(x) = 3 \cdot 2^x
\]