Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
-$$y = \sec \frac { 1 } { 6 } x$$
A) Horizontal shrink by a factor of $\frac { 1 } { 6 }$
B) Vertical translation up 6 units
C) Horizontal stretch by a factor of 6
D) Vertical shrink by a factor of $\frac { 1 } { 6 }$

Question

Quizplus · Accepted Answer

The given function $y = \sec \frac { 1 } { 6 } x$ involves the reciprocal of the cosine function, where the argument of the cosine function is scaled by $\frac { 1 } { 6 }$. This scaling affects the period of the function, making it stretch horizontally by a factor of 6, as it takes 6 times the usual length to complete one cycle.

Describe the Transformation Required to Obtain the Graph of the Given