102k views
2 votes
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

f(x)=cos x/4
g(x)= cos x

Describe the transformations required to obtain the graph of the function f(x) from-example-1

2 Answers

3 votes

Answer:

Answer D.

Explanation:

Horizontal stretch by a factor of 4

User Igelkott
by
8.2k points
3 votes

Answer:

Option d. Horizontal stretch by a factor of 4.

Explanation:

The given function is:

g(x) = cos(x)

The transformed function is:

f(x) = cos(x/4)

Comparing f(x) with g(x) we can see that in f(x), x is being multiplied by a number "1/4"

Whenever during transformation x is multiplied by a number it indicates horizontal stretch or compression.

  • If the number being multiplied is greater than zero, the graph is being compressed horizontally.
  • If the number being multiplied to x is lesser than 1, the graph is being stretched in horizontal direction.

In this case 1/4 is being multiplied to x which is smaller than 1, therefore the graph is being stretched in horizontal direction by a factor of 4.

Therefore, the answer to this question is option d. Horizontal stretch by a factor of 4.

User Ashiina
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories