What is the image point of
(0,−8) after a translation right 2 units and down 4 units?

(2,-12)

Step-by-step explanation:

Moving to the right means add to the x coordinate and down 4 means subtract from the y coordinate

(x+2, y-4)

Our point is (0,-8)

The new point is

(0+2, -8-4)

(2,-12)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation: