Practice Examples Of Transformations (6.2) - Trigonometric Identities and Graphs

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10 questions

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6 sample questions

Question 1.
What happens to the graph of y = sin(x) if you change it to y = 3 sin(x)?
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Think about how far the graph stretches vertically.
Question 2.
If y = sin(4x), what is the period of the graph?
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Remember the formula for period with respect to B.
3Question 3.
What does the amplitude of the graph of y = 5 sin(x) represent?
- Height of the waves
- Frequency of oscillation
- The phase shift
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Think about what control the distance of the graph's peaks.
4Question 4.
True or False: A negative amplitude causes the graph to flip upside down.
- True
- False
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Consider how a negative sign affects the shape and direction.
Question 5.
For the function y = -3 sin(4x - 30°) + 2, determine the amplitude, period, phase shift, and vertical shift.
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Identify values of A, B, C, D to break it down.
Question 6.
Sketch the transformation of y = 2 cos(x + 45°) - 1. What characteristics change?
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Plot key points noting the shifts in height and position.

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