How does the graph of f(x)=4 cos(1/2x)-3 differ from the graph of g(x)=4 cos(x)-3

The function f(x) is stretched horizontally.

Step-by-step explanation:

We are asked to determine how the graph of differ from the graph of .

Let us recall transformation rules of functions.

If function compresses horizontally.

If function stretches horizontally.

Upon looking at function , we can see that the value of 'a' is less than 1 that is , therefore, the function f(x) is stretched horizontally.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .