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Trig Graphs and Transformations Card Match - Free Printable

Trig Graphs and Transformations Card Match

Educational worksheet: Trig Graphs and Transformations Card Match. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Trig Graphs and Transformations Card Match
- The function is $ y = 4 \cos(3x^\circ) + 7 $.
- The amplitude is 4, meaning the graph oscillates 4 units above and below the midline.
- The vertical shift is +7, so the midline of the graph is at $ y = 7 $.
- The period is calculated as $ \frac{360^\circ}{3} = 120^\circ $, meaning one full cycle occurs every 120 degrees.
- The maximum value is $ 7 + 4 = 11 $, and the minimum value is $ 7 - 4 = 3 $.
- The graph starts at $ x = 0^\circ $ with $ y = 11 $ (since $ \cos(0^\circ) = 1 $), and completes its first cycle at $ x = 120^\circ $.
Parent Tip: Review the logic above to help your child master the concept of trigonometry graph worksheets.
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