Graphing Sine and Cosine. Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X...
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Transcript of Graphing Sine and Cosine. Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X...
Graphing CalculatorMode—
RadiansParSimul
• Window—– X min = -1– X max = 2– X scale = /2
• Window—– Y min = -3– Y max = 3– Y scale = 1
• Window—– T min = 0– T max = 2– T step = .1
Using the Graphing CalculatorMode—
RadiansFunctionSequential
• Window—– X min = - – X max = 3– X scale = /6
• Window—– Y min =-3– Y max = 3– Y scale = .5
Y = A sin (Bx - C) ± D
Amplitude|A|
Period 2 |B|
Vertical Shift up/down
Horizontal ShiftLeft/Right
C B
Y = A cos (Bx - C) ± D
Amplitude|A|
Period 2 |B|
Vertical Shift up/down
Horizontal ShiftLeft/Right
C B
Examples--y = 3sin (x + 1) -3
Amp.= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = cos (x - 2) Amp.= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = sin (2x)Amp.= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = ½ cos (½ x) + 1 Amp.= _______
Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = 2 sin (2x + 3)Amp.= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = ½ cos (3x +1) + 1Amp.= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
y = A sin (Bx – C) + D
InterceptMaximumInterceptMinimumIntercept
Unless A = Negative #InterceptMinimumInterceptMaximumIntercept
y = A cos (Bx – C) + D
MaximumInterceptMinimumInterceptMaximum
Unless A = Negative #MinimumInterceptMaximumInterceptMinimum
Graphing by Key Pointsy = 2 sin x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/2, )
(, )
(3/2, )
(2, )
Graphing by Key Pointsy = -2 cos x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/2, )
(, )
(3/2, )
(2, )
Graphing by Key Pointsy = sin 4x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/8, )
(/4, )
(3/8, )
(/2, )
Graphing by Key Pointsy = 3 cos 1/2x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(, )
(2, )
(3, )
(4, )
Graphing by Key Pointsy = 3 sin x +2
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/2 )
(, )
(3/2, )
(2, )
Graphing by Key Pointsy = sin x +2
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(/2 )
(, )
(3/2, )
(2, )
Graphing by Key Pointsy = cos (x + )
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(-, )(-/2 )
(0, )
(/2, )
(, )
Graphing by Key Pointsy = sin (x - /4)
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(/4 , )(3/4, )
(5/4, )
(7/4, )
(9/4, )
Graphing by Key Pointsy = 4sin (x/2 + /2)
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(-, )(0, )
(, )
(2, )
(3, )
Graphing by Key Pointsy = -cos x
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(0, )(1/2, )
(1, )
(3/2, )
(2, )
Graphing by Key Pointsy = 2sin (x/2 - /2) -1
Amp = _________ Horizontal Shift = _______Period = _______ Vertical Shift = _________
Inc. = ________
(, )(2, )
(3, )
(4, )
(5, )