Complete the table for y = 4x and compare and interpret the average rate of change for
x = -3 to 0 and for x = 0 to 3.

THE TABLE...

x = -3, -2, -1, 0, 1, 2, 3
y=

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

ok then what happened.

ratio is 2 : 9

the answer is three

13.5 : 3