Answer :
The statement 'The graph of y = 6cos(x - 2) - 3 is obtained by shifting the graph of y = 6cos x - 3 horizontally 2 units to the right.' is True.
What s graph of a function?
"It is a set of points that satisfy given function."
What is transformation of a function?
"It means that the curve representing the graph either 'moves to left / right/ up/ down' or 'it expands or compresses' or 'it reflects'."
What is translation of function?
"A shift of the graph of a function up, down, left, or right, without changing the shape, size, or dimensions of the graph."
For given question,
We have been given a function y = 6cos x - 3
Also we have been given a transformed function y = 6cos(x - 2) - 3
We know that when function f(x) is transformed to f(x - k) then the graph of f(x) is translated 'k' units right.
So, the graph of y = 6cos(x - 2) - 3 is obtained by shifting the graph of y = 6cos x - 3 horizontally 2 units to the right.
Therefore, the statement 'The graph of y = 6cos(x - 2) - 3 is obtained by shifting the graph of y = 6cos x - 3 horizontally 2 units to the right.' is True.
Learn more about the transformation of function here:
https://brainly.com/question/13810353
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