*other graphs will change from these two original graphs
*basic form
A sin (or cos) b (x-c) + dNotes- Graphing Trig Functions
1. amplitude
2. period (P = 2∏/B)
3. increment (P/4)
4. vertical translation (midline)
5. horizontal translation (starting point)
Examples:
f(x) = 3cos (x/2 - ∏/6) + 1
doesn’t look like basic form – so factor out ½
f(x) = 3cos ½ (x - ∏/3) + 1
amplitude= 3
period= 2∏/B = 2∏/ ½ = 4∏
increment= 4∏/ 4 = ∏
vertical translation = up one unit (midline)
horizontal translation = right ∏/3 (starting point)
*when graphing scale based on the increment
Y= -2 sin ∏/3 (x - 2) + 1
Amplitude = 2 (the negative cause the graph to begin down rather than upward )
Period = 2∏/ ∏/3 = 6
Increment= 6/4 or 1.5
Vertical= up one unit
Horizontal right two units
Homework
Page 439 in book, #’s 45-52
Do by hand then check with your calculator
Review for quiz (optional)
Page 708; 68-74, 85-94, 99, 100, 107, 108
Page 479: 1-48, 51-54
What you need to know:
Functions: operations on functions, composition, inverses and transformations
Trig: right triangle trig, and unit circle
*there will be a non-calculator portion
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