Describe the transformation required to obtain the graph of the given function from the basic inverse trigonometric
graph.
-$f ( x ) = 7 \tan ^ { - 1 } \left( \frac { x } { 6 } \right)$
A) Vertical stretch by a factor of 6 and horizontal stretch by a factor of 7
B) Vertical stretch by a factor of 7 and horizontal stretch by a factor of 6
C) Vertical stretch by a factor of 7 and horizontal shrink by a factor of $\frac { 1 } { 6 }$
D) Vertical translation up 7 units and horizontal translation to the right 6 units

Question

Quizplus · Accepted Answer

The function $f(x) = 7 \tan^{-1}\left(\frac{x}{6}\right)$ involves a vertical stretch by a factor of 7, due to the multiplication of the entire function by 7, and a horizontal stretch by a factor of 6, due to the division of $x$ by 6 inside the function.

Describe the Transformation Required to Obtain the Graph of the Given