Describe how to sketch the graph of y = –tan(2x) + 3 using the parent function.

Answer:

To sketch the graph of y = –tan(2x) + 3, start with the parent function y = tan(x). First, compress the graph horizontally so that its period becomes π/2 instead of π. Next, reflect the graph across the x-axis because of the negative sign. Finally, shift the entire graph up 3 units.