Answer:
Option d. Horizontal stretch by a factor of 4.
Step-by-step 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.
