Answer:
19 units
Explanation:
You want the period of the shifted sine function shown on the graph.
Period
The period is the horizontal distance on the graph between corresponding points. That is, the graph repeats itself after 1 period.
Here, we can find the period by looking at the horizontal distance between the maximum points on the curve. The first one is at 1 unit from the vertical axis; the second one is at 20 units from the vertical axis. The distance between them is ...
20 -1 = 19 . . . . units
The period of the function shown in the graph is 19 units.
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Additional comment
In general, you want to look for places where an identifiable feature of the graph is found on a grid line. The zero-crossings are not on grid lines, nor are the minimum points. The peaks (maximum points) both appear to be on grid lines, so that is why we chose to use them.
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