Match transformation of the function y = csc x with description of the resultant shift in the original cosecant graph. Tiles - 1 + csc (x - π) - 1 + csc (x + π) 1 + csc (x + π) 1 + csc (x - π) Pairs Resultant Shift in the Function's Graph Transformation of the Function The graph of csc x shifts one unit down and π radians to the left. arrowBoth The graph of csc x shifts one unit up and π radians to the right. arrowBoth The graph of csc x shifts one unit down and π radians to the right. arrowBoth The graph of csc x shifts one unit up and π radians to the left. arrowBoth

We are given with the original trigonometric function

y = csc x

We are also given different transformations of the original trigonometric function

-1 + csc (x - π)

-1 + csc (x + π)

1 + csc (x + π)

1 + csc (x - π)

An addition or subtraction in the domain will result to a vertical shift. If there is a 1 added to the function, the shift will be one unit upward and if there is a - 1 added, the shift will be one unit downward.

In the argument of the cosecant function, addition or subtraction results to a horizontal shift. The addition of π will result to a shift of π radians to the left and subtraction will result to shift in the opposite direction.

So, the answer are:

-1 + csc (x - π) - The graph of csc x shifts one unit down and π radians to the right

-1 + csc (x + π) - The graph of csc x shifts one unit down and π radians to the left

1 + csc (x + π) - The graph of csc x shifts one unit up and π radians to the left

1 + csc (x - π) - The graph of csc x shifts one unit up and π radians to the right