Wednesday HW!

Tonight's HW is just sketching one period of the graphs listed below:

• Determine b and plug it into the equation for Period
• Where should we start on the x axis? (first critical value)
• Label your last (fourth) critical value with the full period
• find half of the period for your second critical value
• take half of the second critical value to find your first critical value
• multiply the first critical value by 3 to find the third critical value

1. y = cos(x/4)
2. y = 3sin(4x)
3. y = -sin(x/3) - 1
4. y = 2cos(3x/2) + 1
5. y = -3sin( 2πx ) + 3 

We have a Quiz this Friday (and Test next Thursday) on everything about graphing that we have learned so far. This includes:

• 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)
• Determining equations based on a graph (think about where the graph starts; at its min/max or mid line)