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What is the effect on the graph of the function f(x) =|x| when f(x) is changed to f(4x).

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When the function f(x) changed to f(kx), that means the function is compressed or stretched horizontally by a scale factor

If k > 1, then it is compressed horizontally by a scale factor of 1/k

If 0 < k < 1, then it is stretched horizontally by a scale factor of k

Since the given function is


f(x)=\lvert x\rvert

Since f(x) changed to


f(4x)

That means x is multiplied by 4


f(4x)=\lvert4x\rvert

The value of k = 4 and it is compressed/stretched horizontally

Since k = 4, then

k > 1 (by using the rule above)

Then f(x) is compressed horizontally by a scale factor of 1/4

User Apurva Pathak
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