Answer:
The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
Step-by-step explanation:
We need to describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
We have g(x) = cos x
After transformation we get
f(x)= 9 cos x
According to transformation rule:
if f(x) is transformed into a.f(x) then the transformation is vertical stretch or compression.
- if a > 1 then transformation is vertical stretch
- if 0 < a < 1 then transformation is vertical compression
In our case
g(x)= cos x
f(x) = 9 cos x
a=9 and a>1 so, the transformation is vertical stretch.
So, The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
