Practice Transformations Of Trigonometric Graphs (6) - Trigonometric Identities and Graphs

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9 questions

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6 sample questions

Question 1.
What is the amplitude of the function y = 4 cos(x)?
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Look at the coefficient before the cosine function.
Question 2.
What is the phase shift of the function y = sin(x + 45°)?
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Remember a positive C shifts to the left.
3Question 3.
What does the 'A' in y = A sin(Bx + C) + D represent?
- Amplitude
- Period
- Vertical Shift
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It affects how tall the wave will be.
4Question 4.
True or False: The period is defined as 360° / |B|.
- True
- False
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Remember how the variable B influences periodicity.
Question 5.
Transform the function y = cos(x) by setting A = 4, B = 1, C = -90°, D = 1. What does the new function look like and what are its characteristics?
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Identify changes with given parameters before sketching.
Question 6.
Given the function y = -2 sin(5x - 180°), analyze its amplitude, period, phase shift, and vertical shift.
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Use formulas to derive period and shifts.

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