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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What happens to the graph of y = sin(x) if you change it to y = 3 sin(x)?
💡 Hint: Think about how far the graph stretches vertically.
Question 2
Easy
If y = sin(4x), what is the period of the graph?
💡 Hint: Remember the formula for period with respect to B.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the amplitude of the graph of y = 5 sin(x) represent?
- Height of the waves
- Frequency of oscillation
- The phase shift
💡 Hint: Think about what control the distance of the graph's peaks.
Question 2
True or False: A negative amplitude causes the graph to flip upside down.
- True
- False
💡 Hint: Consider how a negative sign affects the shape and direction.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For the function y = -3 sin(4x - 30°) + 2, determine the amplitude, period, phase shift, and vertical shift.
💡 Hint: Identify values of A, B, C, D to break it down.
Question 2
Sketch the transformation of y = 2 cos(x + 45°) - 1. What characteristics change?
💡 Hint: Plot key points noting the shifts in height and position.
Challenge and get performance evaluation