Describe the transformation required to obtain the graph of the given function from the basic inverse trigonometric
graph.
-$$f ( x ) = 6 \cos ^ { - 1 } 8 x$$
A) Vertical stretch by a factor of 6 and horizontal shrink by a factor of $\frac { 1 } { 8 }$
B) Vertical stretch by a factor of 8 and horizontal shrink by a factor of $\frac { 1 } { 6 }$
C) Vertical translation up 6 units and horizontal translation to the right 8 units
D) Vertical stretch by a factor of 6 and horizontal stretch by a factor of 8

Question

Quizplus · Accepted Answer

The function $f(x) = 6\cos^{-1}(8x)$ involves a vertical stretch by a factor of 6, due to the multiplication of the entire function by 6, and a horizontal shrink by a factor of $\frac{1}{8}$, due to the argument of the cosine inverse function being multiplied by 8.

Describe the Transformation Required to Obtain the Graph of the Given