Question

question 3 of 6, step 1 of 2
graph the following function: y = 4 - 2csc(x - π)
step 1 of 2: identify the shape of the more basic function that has been shifted, reflected, stretched or compressed

Explanation:

Step1: Recall basic trigonometric functions

The given function $y = 4-2\csc(x - \pi)$ is based on the cosecant function $y=\csc(x)$.

Step2: Identify the basic function

The basic function that has been shifted, reflected, stretched or compressed is the cosecant function. The general form of the cosecant function is $y = A\csc(Bx - C)+D$. In our case, the basic function before transformations is $y=\csc(x)$.

Answer:

The shape of the more basic function is that of the cosecant function.