Question

Which results only in a horizontal compression of y = StartFraction 1 Over x EndFraction by a factor of 6? y = StartFraction 1 Over 6 x EndFraction y = negative StartFraction 1 Over 6 x EndFraction y = StartFraction 6 Over x EndFraction y = negative StartFraction 6 Over x EndFraction.

Answer 1

Using translation concepts, it is found that an horizontal compression of $y = \frac{1}{x}$ is found in the following function:

$y = \frac{1}{6x}$

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In a function, a horizontal compression is found when x in the domain is multiplied by a constant greater than 1, that is, g(x) = f(ax), a > 1.

Hence, for $y = \frac{1}{x}$, the pure horizontal compression is:

• $y = \frac{1}{6x}$.

More can be learned about translation concepts at brainly.com/question/4521517

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