Practice General Transformation Form (6.1) - Trigonometric Identities and Graphs
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General transformation form

Practice - General transformation form

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the amplitude of the function y = 5sin(x)?

💡 Hint: Look at the coefficient of sin.

Question 2 Easy

What is the period of y = sin(4x)?

💡 Hint: Remember to divide 360° by B.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the A in the transformation y = A sin(Bx + C) + D represent?

Phase shift
Amplitude
Vertical shift

💡 Hint: Think about which value affects the height of the graph.

Question 2

True or False: The period of a function increases as B increases.

True
False

💡 Hint: Recall the formula for the period.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given y = -4sin(2x + 30°) - 3, determine the amplitude, period, phase shift, and vertical shift. Sketch the function.

💡 Hint: Start by extracting A, B, C, and D for the transformations.

Challenge 2 Hard

Graph y = 3cos(0.5x - 90°) + 1, labeling the changes from the base cosine graph.

💡 Hint: Carefully calculate each parameter before sketching!

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