The function represents the given graph is y = sin(x - 2).
What is the translating a graph?
"Translating a graph means that moving it along the x or y axis by certain units."
Translating a function y = f(x):
1) For a function of the type y = f(x) + k
If k > 0, the graph of y = f(x) will translate up(along positive Y-axis) by k units.
If k < 0, the graph of y = f(x) will translate down(along negative Y-axis) by k units.
2) For a function of the type y = f(x + m)
If m > 0, the graph of y = f(x) will translate left(along negative X-axis) by m units.
If m < 0, the graph of y = f(x) will translate right(along positive X-axis) by m units.
From given example,
The function represents the given graph is y = sin(x - 2).
This means, the function y = sin(x) is translated right by angle 2 (degrees / radians) as shown in the following figure.
Learn more about sine function here:
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