suppose the graph of the parent function (y = cot(x)) is vertically compressed to produce the graph of the…

suppose the graph of the parent function (y = cot(x)) is vertically compressed to produce the graph of the function (y = acot(x)), but there are no reflections. which describes the value of (a)?\n(a < - 1)\n(-1 < a < 0)\n(0 < a < 1)\n(a>1)

suppose the graph of the parent function (y = cot(x)) is vertically compressed to produce the graph of the function (y = acot(x)), but there are no reflections. which describes the value of (a)?\n(a < - 1)\n(-1 < a < 0)\n(0 < a < 1)\n(a>1)

Answer

Explanation:

Step1: Recall vertical - compression rule

For a function (y = f(x)) transformed to (y = a\cdot f(x)), if (|a|<1) and (a>0), the graph of (y = f(x)) is vertically compressed.

Step2: Analyze the given function

The parent function is (y=\cot(x)) and the transformed function is (y = a\cot(x)) with no reflections. For a vertical compression of (y = \cot(x)) to (y=a\cot(x)) without reflection (so (a>0)), we need (0 < a<1).

Answer:

(0 < a<1)