Today Joshua and I discussed the graphs of sinusoidal functions, their period, frequency, amplitude, midline and phase shift. We first started by discussing the square root function and what we know about the transformations. Then we applied that to the sine function. Joshua was able to see how students could make mistakes when they see 3x-3 as a shift to the right 3. However, if you consider that 3x-3 is really 3(x-1), then you see that it's a shift to the right 1 (not 3). Joshua then practiced graphing sinusoidal functions given the equations. He also got practice writing the equations functions given it characteristics.