Sketching sin & cos graphs Example 1 Sketch one period of y = 3 sinx + 2 Vert:Average = 2 Amplitude = 3 Range y [-1, 5] Horiz:Period = 2π Ref Pt: average.

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Presentation transcript:

Sketching sin & cos graphs Example 1 Sketch one period of y = 3 sinx + 2 Vert:Average = 2 Amplitude = 3 Range y [-1, 5] Horiz:Period = 2π Ref Pt: average line when x = 0

Sketching sin & cos graphs Example 2 Sketch one period of y = sin2x – 1 Vert:Average = -1 Amplitude = 1 Range y [-2, 0] Horiz:Period = Ref Pt:average line when x = 0

Sketching sin & cos graphs Example 3 Sketch where x [0, 8π] Vert:Average = -1 Amplitude = 3 Range y [-4, 2] Horiz:Period = Ref Pt:max when x = 0

Sketching sin & cos graphs Example 4 Sketch one period of y = cos2(x – π) + 1 Vert:Average = 1 Amplitude = 1 Range y [0, 2] Horiz:Period = Ref Pt:max when x =

Sketching sin & cos graphs Example 5 Sketch y = -3sinπx + 2 where x [0, 4] Vert:Average = 2 Amplitude = 3 Range y [-1, 5] Horiz:Period = 2 / = 2 Ref Pt:average when x = 0

Sketching sin & cos graphs Exercise 1.Sketch one period of y = 4sinπ(x + 1) 2.Sketch where x [0, 12] 3.Sketch where x [0, 16] 4.Sketch where x [0, 12] As hard as they get