Monday = Revisit/Retry the Weekend HW!

This homework assignment is out of the book! For all the problems only graph g(x), the book gives two equations f(x) and g(x) and tells you to compare, you do not need to do that, for homework just graph two periods of g(x).

Pg. 294

• 15, 16, 21, 22, 34

USE YOUR CALCULATOR OR DESMOS CALCULATOR TO CHECK IF YOUR GRAPH LOOKS CORRECT!

The book problems are below as well:

15) g(x) = sin(x - π)

16) g(x) = cos(x + π)

21) g(x) = 5 + sin(2x)

22) g(x) = -6 +cos(4x)

34) g(x) = -cos[x - (π/2)]



Also remember we have a Test Thursday! We will be reviewing on Tuesday and Wednesday so it would be a good idea to get a bit of studying in now so you can ace your classwork and be ready for Thursday!

Here are the topics covered: (notice there is something new)

• Parent functions (sin, cos)
• amplitude (|a|) and how it affects the parent function
• Vertical shift and how it affects the parent function
• Determining Period (=2π/b) 
• (the only new thing to pay attention to when writing equations from graphs)
• plug in period (into the equation above) and solve for b
• Phase shift and how it affects the parent graphs (shift the starting point (x=0) for any given function)
• Determining equations based on a graph (consider midline, amplitude, period, shape, and +/-)
• Don't worry we will not be using phase shift to determine equations only those 5