Each statement describes a transformation of the graph of y = x. which statement correctly describes the graph of y = x − 8?

a. it is the graph of y = x where the slope is decreased by 8.

b. it is the graph of y = x translated 8 units down.

c. it is the graph of y = x translated 8 units up.

d. it is the graph of y = x translated 8 units to the left.

B. It is the graph of y = x translated 8 units down.

Step-by-step explanation:-

The function f(x) after translation of k units to down becomes :

                    (1)

Given : Function : is translated to get

We can rewrite it as ,

i.e. From (1), the graph of y = x translated 8 units down.

Hence, the correct answer is "B. It is the graph of y = x translated 8 units down."

we can't see all full 4 options, but if this is the full option, than the very left one is correct:

-2/5 * -3 3/4

remake the question, adding a picture of all the question, or write down the full left and right answers.