Suppose the graph of the parent function y is equal to cotangent of x is vertically compressed to produce the graph of the function y is equal to A cotangent x , but there are no reflections. Which describes the value of A ?
Answer
A
0 is less than A comma A is less than 1
B
negative 1 is less than A comma A is less than 0
C
A is less than negative 1
D
A is greater than 1
Explanation
Multiplying a function by A scales its y-values by |A|. A vertical compression occurs when 0 < |A| < 1. Since there are no reflections, A must be positive, so 0 < A < 1, which is choice A.
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