Given:
The function is:
This function is stretched by a factor of 9 to g(x).
To find:
The equation of function function g(x).
Solution:
The vertical stretch is defined as:
...(i)
If , then the function f(x) compressed vertically by factor k.
If , then the function f(x) stretched vertically by factor k.
The given function f(x) is stretched by a factor of 9 to g(x). So the value of k is 9.
Substituting in (i), we get
Therefore, the required function is .