General Idea:
The function translation / transformation rules are given below:
f (x) + k shifts the function k units upward.
f (x) – k shifts the function k units downward.
f (x + h) shifts the function h units to the left.
f (x – h) shifts the function h units to the right.
–f (x) reflects the function in the x-axis (that is, upside-down).
f (–x) reflects the function in the y-axis (that is, swapping the left and right sides).
Applying the concept:
If y = f(x), then y = csc(x – 6) can be represented as y = f(x-6).
Conclusion:
It is the graph of y = csc(x) shifted 6 units right.