Trigonometric Graph Transformations
Directions:
Use the following applet to explore how a, b, c, and d can change the features of the three trigonometric graphs f(x)=sin(x), g(x)=cos(x), and h(x)=tan(x). Use the check-boxes to show and hide the different graphs. Also, use the four sliders to change the values for a, b, c, and d. You may also use the check-boxes to show and hide the parent graphs for the three main trigonometric functions.
Consider the following questions as you explore:
#1. How does a change the attributes of the graph of each function? Does it change each function in the same way?
#2. How does b change the attributes of the graph of each function? Does it change each function in the same way?
#3. How does c change the attributes of the graph of each function? Does it change each function in the same way?
#4. How does d change the attributes of the graph of each function? Does it change each function in the same way?
#5. Is there a generalized rule for how each attribute (a, b, c, and d) change the graphs of trigonometric functions?