The parent function $$ y=\frac{1}{x} $$ is stretched vertically by a factor of 5 . What is the equation of the transformed function $$ f(x) $$ ? The point $$ \left(4, \frac{1}{4}\right) $$ lies on the parent function. What are the coordinates of this point on the transformed function $$ f $$ ? Express your answer as an ordered pair with integer or fractional coordiantes in lowest terms.

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Hilton Carlson · Accepted Answer

The transformed function is $$ f(x) = \frac{5}{x} $$ and the coordinates of the point on the transformed function are $$ \left(4, \frac{5}{4}\right) $$.

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