Sawyer M.

asked • 04/01/19

Question for Transformation

Alex says that the function f(x) = (3x)2 represents a vertical stretch of the quadratic parent function by a factor of 3. Marta says that it represents a horizontal compression by a factor of . Decide whether one student is correct, both are correct, or neither is correct.

Mark M.

1) Is the 2 an exponent? 2) What should be after "factor of?"
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04/01/19

Mark M.

f(x) = (3x)^2, f(x) = 9x^2, Neither it would be a vertical stretch by 9.
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04/02/19

1 Expert Answer

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Denise G. answered • 04/02/19

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The 3 inside the parenthesis is a horizontal transformation. Because 3>1, it is a compression. This is a horizontal compression by a factor of 3.


It could also be a vertical stretch but not by a factor of 3.

You can re-write the expression f(x)=(3x)2 as (3x)(3x) = 9x2


This would be a vertical transformation. Is is a stretch because 9>1.

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