Notice how the arrows on the mapping diagrams are paired with the points on the graph of the functions.

You can use the sliders to adjust the values of $B$ and $C$ or enter them in the appropriate boxes.

You can move the point for $x$ on the mapping diagram to see how the function value for the function $ f(x) = trig( Bx+C)$ changes both on the diagram and on the graph.

The arrow on the point on the mapping diagram target axis indicates whether the value of the function $f(x)$ is increasing (pointing up) or decreasing (pointing down).

Notice how the graph and mapping diagram visualize the connection between the function and the basic shape of $trig(x)$.

Check the box to show points on the graph and arrows on the diagram for the function $ f(x)$.

Move the slider to change the function between $\cos$, $\sin$ and $\tan$.