Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 9 cos x ; g(x) = cos x (3 points)

Question

asked Apr 23, 2021 61.6k views

1 Answer

Sean Sexton · Answer 1 · 2021-04-26T23:31:01+0000

Answer:

The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch

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.

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