graphing sine and cosine. video graphing calculator mode— radians par simul window— –x min =...
Post on 16-Dec-2015
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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 = -1– X max = 2– X scale = /2
• Window—– Y min = -10– Y max = 10– Y scale = 1
Y = A sin (Bx ± C) ± D
Amplitude
Period Change
2 |b|
Vertical Shift up/down
Horizontal ShiftLeft/Right
C B
Examples--Y = 3sin (x + ) -3
A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = cos (x - 2)
A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = -2sin (2x)A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = -½ cos (½ x) + 1A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = -2 sin (2x + 3)A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Y = ½ cos (3x +) + 1A= _______Period = _____Horizontal Phase Shift = _________Vertical Phase Shift = ________
Graphing by Key PointsY = 2 sin x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = -2 cos x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = sin 4x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/4, )(/2, )
(3/4, )
(, )
Graphing by Key PointsY = 3 cos 1/2x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(, )
(2, )
(3, )
(4, )
Graphing by Key PointsY = 2 sin x
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = sin x +2
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = sin (x - /4)
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = cos (x + )
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = 4sin (x/2 + /2)
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = -cos (x - 1/3)
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
Graphing by Key PointsY = 2sin (x/2 - /2) -3
A = _________Period = ______
Key Points -- Period ÷ 4
(0, )(/2, )(, )
(3/2, )
(2, )
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