Question

If you vertically stretch the exponential function, f(x) = 2x, by a factor of 4, what is the equation of the new function?

Answer 1

Answer: Equation of new function will be $f(x)=4(2^x)$

Step-by-step explanation:

Since we have given that

The exponential function f(x) is denoted by

$f(x)=2^x$

We need to stretch the exponential function vertically by a factor of 4.

So, let say c = 4.

So, our new equation becomes,

$f(x)=2^x\times c\\\\f(x)=4(2^x)$

Hence, equation of new function will be $f(x)=4(2^x)$

Answer 2

To vertically strech a function by a factor of c, multiply the whole function by c

so

f(x) vertically streched by a factor of 4 is 4f(x)
so we get
the new function is f(x)=4(2)ˣ