what is the vertical shift of the graph of the parent cosecant function to the graph of the function…
what is the vertical shift of the graph of the parent cosecant function to the graph of the function below?\no 1 unit down\no 2 units down\no 3 units down\no 4 units down
Answer
Explanation:
Step1: Recall parent cosecant function
The parent cosecant function (y = \csc(x)) has a mid - line at (y = 0).
Step2: Identify mid - line of given function
From the graph, the mid - line of the given cosecant function is at (y=- 3).
Step3: Calculate vertical shift
The vertical shift is the difference between the mid - line of the given function and the mid - line of the parent function. So, (0-(-3)=3) units down.
Answer:
3 units down