Answer :
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
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: 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]