The transformation of a function f ( x ) into a function g ( x ) is given by g ( x ) = A f ( B x + H ) + K . where the constants

A vertically scales the function. (negative A reflects the function about the x-axis.)
B horizontally scales the function. (negative B reflects the function about the y-axis.)
H horizontally shifts the function.
K vertically shifts the function.

Transform f ( x ) into g ( x ) where the transformation is g ( x ) = − 3 ⋅ f ( x ) The function f ( x ) is shown below in red. Graph the transformed function g ( x ) by first placing a dot at each end point of the new transformed function and then click on the "line segment" button and connect the two blue dots. (Hint: Use pattern-matching to determine the values of the constants A, B, H, and K.)