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

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.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: