How is the graph of y = csc(x – 6) transformed from its parent function? it is the graph of y = csc(x) shifted 6 units up. it is the graph of y = csc(x) shifted 6 units right. it is the graph of y = csc(x) shifted 6 units left. it is the graph of y = csc(x) shifted 6 units down.

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.

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)