Question

Please help

Answer 1

Answer:

$f(x)=5(2^x)$

A is the correct option.

Step-by-step explanation:

We have been given the parent function $f(x)=2^x$

We have the transformation rule:

Rule: If the parent function y =f(x) is stretched vertically by a factor 'k' then the equation becomes y=kf(x).

Here, the exponential function $f(x)=2^x$ vertically stretched by a factor 5, hence, k = 5.

Therefore, the equation for the new function is

$f(x)=5(2^x)$

A is the correct option.

Answer 2

A vertical stretch of f(x) by a scale factor of a is 
g(x)=a f(x)

For $f(x)=2^x$, and a=5
the vertically stretched function is then
$g(x)=a f(x)=5*2^x$