Question

How are the graphs of y = sin(x) and y = sin(x - 8) related? *

There is a vertical shift
There is a change in the period of the function
There is a horizontal shift
There is a change in amplitude

Answer 1

There is a horizontal shift.

Explanation:

Replacing x in a function formula with x - 8 moves the graph 8 units to the right.

In the attached image, y = sin(x) is light green, y = sin(x - 8) is dark green, and the arrows show how points on sin(x) get moved 8 units to the right.