Investigating Transformations of Sine and Cosine Graphs

Use the checkboxes to turn the graphs of y = a*sin(bx - c) + d and y = a*cos(bx - c) + d on and off. Be sure to display only one graph at a time. Use the sliders to adjust the values of a, b, c, and d. To return to the base function, set a and b equal to 1 and c and d equal to zero. [br]1. Leave all other sliders at base value and adjust c. What happens as c gets larger? Gets smaller?[br]2. Leave all other sliders at base value and adjust d. What happens as d gets larger? Gets smaller?