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How does the graph of g(x)=4⌊x⌋ differ from the graph of f(x)=⌊x⌋?

How does the graph of g(x)=4⌊x⌋ differ from the graph of f(x)=⌊x⌋?-example-1

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Answer: C) Stretched vertically by a factor of 4

This is another way of saying "the graph of g(x) is 4 times taller compared to f(x)".

Recall that anything of the form g(x) = k*f(x) will basically stretch f(x) vertically by a factor of k, where k is any real number. This is because y = f(x) and k*f(x) will move the y coordinate k times further away. For 4*f(x), the y coordinate is moved 4 times further away. Do this for every point, and you'll have the vertical stretch mentioned earlier.

User Brendan Kowitz
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