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

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

Answer Link

RenatoMattice RenatoMattice · Answer 2 · 2019-03-22T09:53:18+01:00

Answer: Equation of new function will be [tex]f(x)=4(2^x)[/tex]

Step-by-step explanation:

Since we have given that

The exponential function f(x) is denoted by

[tex]f(x)=2^x[/tex]

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

So, let say c = 4.

So, our new equation becomes,

[tex]f(x)=2^x\times c\\\\f(x)=4(2^x)[/tex]

Hence, equation of new function will be [tex]f(x)=4(2^x)[/tex]