identify how the graph is transformed from that of the parent function.\ny = cot(\\frac{x}{5})\nstretched…

identify how the graph is transformed from that of the parent function.\ny = cot(\\frac{x}{5})\nstretched horizontally\ncomplete\ny = \\frac{1}{4}tan(x)\ncompressed vertically\ncompressed horizontally\nstretched vertically\nstretched horizontally

identify how the graph is transformed from that of the parent function.\ny = cot(\\frac{x}{5})\nstretched horizontally\ncomplete\ny = \\frac{1}{4}tan(x)\ncompressed vertically\ncompressed horizontally\nstretched vertically\nstretched horizontally

Answer

Answer:

compressed vertically

Explanation:

Step1: Recall parent - function transformation rules

For a function $y = a\cdot f(x)$, when $|a|<1$, the graph of $y = f(x)$ is compressed vertically.

Step2: Analyze the given function

The parent function of $y=\frac{1}{4}\tan(x)$ is $y = \tan(x)$. Here $a=\frac{1}{4}$ and since $\left|\frac{1}{4}\right|=\frac{1}{4}<1$, the graph of $y = \tan(x)$ is compressed vertically to get the graph of $y=\frac{1}{4}\tan(x)$.