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 $0 < a<1$, the graph of $y = f(x)$ is vertically compressed.

Step2: Apply to the given function

The parent function is $y=\cot(x)$ and the transformed function is $y = a\cot(x)$ with no reflections. For vertical compression, we need $0 < a<1$.

Answer:

$0 < a<1$