Question

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

Answer 1

A compression is the squeezing of the graph toward the x- or y-axis. When the graph is squeezed towards the x-axis, it is called a vertical compression while a squeeze towards the y-axis is called a horizontal compression.

For example, given the parent function y = f(x), the vertical compression of the function is a f(x) where | a | < 1 (a fraction between 0 and 1).

For values of a that are negative, then the vertical compression of the graph is followed by a reflection across the x-axis.

Thus given the parent function y=cot(x), we say that there is a vertically compressed to produce the graph of the function y=a cot(x) with no reflections when a is positive and is less than 1.
i.e. 0 < a < 1

Answer 2

Answer:

answer is C. 0 <a< 1

Step-by-step explanation:

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