Explain how the graph of y = 2csc(x - pi/4) - 5 is related to the graph of the basic trigonometric function y = cscx.

The distance between the min and max increased by a factor of 2, horizontally shifted to the right by , shifted down 5 units, and has a phase shift of

Step-by-step explanation:

The general form of a csc function is: y = A csc (Bx - C) + D  where

|A| is the amplitude (vertical stretch) -A is a reflection over the x-axis|B| is the horizontal stretch-B is a reflection over the y-axisC is a horizontal shift (left or right)D is a vertical shift (up or down)Period is Phase Shift is

In the given transformed graph y = 2 csc (x - ) - 5

A = 2   --> distance between the Min and max is 2(2) = 4C =  --> horizontally shifted to the right   unitsD = -5  --> shifted DOWN 5 unitsPhase shift is

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