Which of the following functions is graphed below
a. y=|x-6|+4
b. y=|x-6|-3
c. y=|x+6|+3
d. y=|x+6|-3

The answer is (D). y = |x + 6| - 3.

Step-by-step explanation: We are given four options of functions and we are to select which one is graphed in the given figure.

From the graph, we have

f(-6) = -3,  f(-3) = f(-9) = 0.

From option (A) y=|x-6|+4, we have

f(-6) = 16, -8 ≠ -3. So, this option is not correct.

From option (B) y=|x-6|-3, we have

f(-6) = 9, -15 ≠ -3, so this option is also incorrect.

From option (C) y=|x+6|+3, we have

f(-6) = 3 ≠ -3, so this option is again incorrect.

From option (D) y=|x+6|-3, we have

f(-6) = -3, f(-3) = 0 and f(-9) = 0.

So, this option is correct.

Thus, the correct option is (D).