Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a graphs of sine and cosine quiz? Then this Algebra 2 quiz on Graphing Waves: Sine and Cosine Models asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions check amplitude, period, shifts and modeling. Wrong options match common mix-ups between B and the period, so read each explanation.
Standards: F-TF.B.5, F-IF.C.7e · Level: Grade 11 Algebra 2
What this Graphing Waves: Sine and Cosine Models quiz checks
- Amplitude is |A|, and the maximum and minimum are D ± |A|.
- Period = 2π/|B|, so a larger B gives a shorter wave.
- Phase shift C moves the graph right when C is positive.
- Sine starts on the midline; cosine starts at its maximum.
- Tides, daylight hours and Ferris wheels are modeled by shifted sine or cosine functions.
The 10 questions of the quiz
- What is the period of y = sin(2x)?
- What is the amplitude of y = −5 cos x + 1?
- What is the midline of y = 2 sin x − 4?
- The graph shows y = 3 cos 2x + 1. What is its maximum?
- y = sin(x − π/4) is the graph of sin x shifted
- Which function has period 6?
- A wave has maximum 9 and minimum 1. What is its midline?
- The rider’s height is graphed. What is the period?
- Which equation starts at its maximum when x = 0?
- What is the maximum of y = 12 sin(x) + 62?
After the quiz
Missed a question? Reread the Graphing Waves: Sine and Cosine Models lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Graphing Waves: Sine and Cosine Models, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
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