Question

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

Answer 1

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