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

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.

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.

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: