Suppose the graph of the parent function y=cot(x) is vertically compressed to produce the graph of the function y=a cot(x) but there are no reflections. Which describes the value of a? a. a<-1 b. -1 c. 0 d. a>1

Dang...I literally had this question in Algebra the other day, and got it wrong....but i believe the actual answer was B. It was for sure not D XD. Sorry if I am wrong yet again.

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pinquancaro pinquancaro · Answer 2 · 2019-06-11T09:20:23+02:00

Answer:

The required value of a is [tex]0<a<1[/tex]

Step-by-step explanation:

Given : Suppose the graph of the parent function [tex]y=\cot(x)[/tex] is vertically compressed to produce the graph of the function [tex]y=a\cot(x)[/tex] but there are no reflections.

To find : Which describes the value of a?

Solution :

When the graph is vertically compressed by unit a

then the value of a lies between [tex]0<a<1[/tex]

So, In the graph of parent function [tex]y=\cot(x)[/tex] is vertically compressed to produce the graph of the function [tex]y=a\cot(x)[/tex] the value of a lies between [tex]0<a<1[/tex] as there is no reflection so no changes.

Therefore, The required value of a is [tex]0<a<1[/tex]