Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
-$$y = 3 \cot \pi x$$
A) Vertical stretch by a factor of $\frac { 1 } { \pi }$ and a horizontal shrink by a factor of 3
B) Vertical translation up 3 units and horizontal translation to the right $\pi$ units
C) Vertical translation down 3 units and horizontal translation to the left $\pi$ units
D) Vertical stretch by a factor of 3 and a horizontal shrink by a factor of $\frac { 1 } { \pi }$

Question

Quizplus · Accepted Answer

The function $y = 3 \cot \pi x$ involves a vertical stretch by a factor of 3, due to the coefficient 3, and a horizontal shrink by a factor of $\frac{1}{\pi}$, due to the $\pi$ inside the cotangent function, which affects the period of the trigonometric function.

Describe the Transformation Required to Obtain the Graph of the Given