If the graph of f(x)=cotx is transformed by a horizontal shrink of 1/4 and a horizontal shift left pi, the result is what?

To determine the transformation of the graph of f(x) = cot(x) resulting from the given horizontal shrink and shift, we need to analyze how these transformations affect the original graph.

1. Horizontal Shrink by 1/4:
To shrink a function horizontally by a factor of k, we take each x-coordinate and multiply it by the reciprocal of k. In this case, k = 1/4. So, the new function is f(4x).

2. Horizontal Shift Left by π:
To shift a function horizontally by a certain distance, we add or subtract that distance to the x-coordinate. In this case, we are shifting left by π. So, the new function is f(4x - π).

Therefore, the result of the given transformations on the function f(x) = cot(x) is f(4x - π).