In the function f(x), x is replaced with 3x. f(x)=1/2sin(x)−4
What effect does this have on the graph of the function?
A. The graph is vertically stretched by a factor of 1//3.
B. The graph is vertically compressed by a factor of 1/3.
C. The graph is horizontally stretched by a factor of 1/3.
D. The graph is horizontally compressed by a factor of 1/3.

Just took the test, so the answer is...

D. Horizontally compressed by a factor of 1/3

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 .