Graph of y = asin(bx + c)
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Question 1
Sketch the graph of y = 3sin(x + 30°) on [-360°, 360°]
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Question 1 - Answer
Sketch the graph of y = 3sin(x + 30°) on [-360°, 360°]
The amplitude A of the graph is 3
the period T is 360° or 2π and the
horizontal shift is 30° to the left.
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Question 2
Sketch the graph of y = 2sin(x + 90°) on [-360°, 360°]
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Question 2 - Answer
Sketch the graph of y = 2sin(x + 90°) on [-360°, 360°]
The amplitude A of the graph is 2
the period T is 360° or 2π and the
horizontal shift is 90° to the left.
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Question 3
Sketch the graph of y = 3sin(2x + 60°) on [-360°, 360°]
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Question 3 - Answer
Sketch the graph of y = 3sin(2x + 60°) on [-360°, 360°]
The amplitude A of the graph is 3
the period T is 180° or π and the
horizontal shift is 30° to the left.
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Question 4
Sketch the graph of y = 2sin(3x + 90°) on [-360°, 360°]
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Question 4 - Answer
Sketch the graph of y = 2sin(3x + 90°) on [-360°, 360°]
The amplitude A of the graph is 2
the period T is 120° or 2π/3 and the
horizontal shift is 30° to the left.
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Question 5
Sketch the graph of y = 4sin(x – 60°) on [-360°, 360°]
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Question 5 - Answer
Sketch the graph of y = 4sin(x – 60°) on [-360°, 360°]
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1
The amplitude A of the graph is 4
the period T is 360° or 2π and the
horizontal shift is 60° to the right.
Question 6
Sketch the graph of y = 3sin(x – 90°) on [-360°, 360°]
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Question 6 - Answer
Sketch the graph of y = 3sin(x – 90°) on [-360°, 360°]
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3
The amplitude A of the graph is 3
the period T is 360° or 2π and the
horizontal shift is 90° to the right.
Question 7
Sketch the graph of y = 4sin(2x – 30°) on [-360°, 360°]
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4
Question 7 - Answer
Sketch the graph of y = 4sin(2x – 30°) on [-360°, 360°]
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5
The amplitude A of the graph is 4
the period T is 180° or π and the
horizontal shift is 15° to the right.
Question 8
Sketch the graph of y = 3sin(2x – 90°) on [-360°, 360°]
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6
Question 8 - Answer
Sketch the graph of y = 3sin(2x – 90°) on [-360°, 360°]
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7
The amplitude A of the graph is 3
the period T is 180° or π and the
horizontal shift is 45° to the right.
Question 9
Sketch the graph of y = -5sin(3x + 90°) on [-360°, 360°]
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8
Question 9 - Answer
Sketch the graph of y = -5sin(3x + 90°) on [-360°, 360°]
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9
The amplitude A of the graph is 5
the period T is 120° or 2π/3 and the
horizontal shift is 30° to the left.