Below is the graph of f(x)= ln (x) how would you describe the graph of g (x) = 1/3 ln (x)

Graph of f(x)=ln(x) is missing but we can still answer this problem.

We just have to explain about what will happen if f(x)=ln(x) changes into g(x)=1/3 ln(x)

To find that compare both functions.

We see that ln(x) gets multiplied by 1/3 to produce graph of 1/3ln(x)

there multiplifaction factor 1/3 lies between 0 and 1.

Hence graph of f(x) will compress vertically by factor of 1/3 to produce graph of g(x).

So for the final answer we will write f(x) compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)

You can check attached file for more related rules

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 .