To solve this problem, you start with the parent rational function, which is y = 1/x.
In mathematics, a parent function is the most basic function of a family of function, which is shifted, reflected, or stretched/shrank to become the other functions in that family. In this case, the parent function is y = 1/x.
The function we have, y = ((1/4)/x), is related to the parent function, but it has been transformed.
The transformation that has occurred here is a vertical scaling. Vertical scaling is when the y-coordinates of the points in a graph are multiplied by a constant factor. This either stretches or shrinks the graph vertically depending on whether the factor is greater than 1 or less than 1 respectively.
In this case, the parent function y = 1/x has been scaled by a factor of 1/4 to create our function y = ((1/4)/x).
This means the output values of the function (the y-values) are a quarter of what they would be with the original function. For any given input, the output value will be 1/4 times smaller.
To summarise, the function y = ((1 / 4) / x) can be transformed from the parent function y = 1 / x by scaling it by a factor of 1 / 4.