The graph of g(x) is obtained by reflecting the graph of f(x)=4|x| over the x-axis.which equation describes  g(x)?   g(x)=|x+4|g(x)=|x|−4g(x)=|x−4|g (x)=−4|x|

Option D

Step-by-step explanation:

The given function is

It is given that the graph of g(x) is obtained by reflecting the graph of f(x)=4|x| over the x-axis.

If a figure reflected across x-axis, then the rule of reflection is

Using the above rule, if the given function reflected across x-axis, then g(x)=-f(x).

The equation g(x)=-4|x| describes g(x).

Therefore, the correct option is D.

5 x 14?

im new, sorry if this is wrong.

step-by-step explanation:

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 .