Phase Shift Quizzes, Questions & Answers

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Top Trending Phase Shift Quizzes

Modeling with Phase Shifts: Real-World Trig Translations

Line up your model with real timing. You’ll choose phase shifts so maxima, minima, or zero crossings land at the right moments. Explain how the shift affects when events happen—without changing how big or how often...

Questions: 20 | Attempts: 12 | Last updated: Jan 22, 2026

Sample Question
Which function represents a cosine graph shifted π/3 units to the right?

Y = cos(x + π/3)

Y = cos(x − π/3)

Y = cos(x) + π/3

Y = cos(x) − π/3

Phase Shift Basics: Identify Horizontal Shifts in Trig Functions

How far did the graph slide? This quiz is all about spotting horizontal shifts quickly. You’ll rewrite equations to a clean “shifted” form and decide whether a graph moved left or right—and by how...

Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026

Sample Question
What is the phase shift of y = sin(x − π/3)?

π/3 to the left

π/3 to the right

π/6 to the right

π/6 to the left

Phase Shift Quiz: Phase Shift as a Horizontal Translation of Sine and Cosine Graphs

How do horizontal shifts affect sine and cosine graphs? In this quiz, you’ll explore how phase shifts translate wave patterns along the x-axis and change the timing of peaks, troughs, and midline crossings. You’ll...

Questions: 20 | Attempts: 11 | Last updated: Dec 17, 2025

Sample Question
In y = cos(x − C), positive C shifts right.

True

False

Recent Phase Shift Quizzes

Phase Shift Parameter Quiz: Identifying Phase Shift Parameter

How can you identify the exact phase shift from a trig equation? In this quiz, you’ll learn to read transformation parameters accurately, isolate the horizontal shift, and connect symbolic expressions to visual movement...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Select all equations with a phase shift of π/8 to the right.

Y = sin(x − π/8)

Y = cos(4x − π/2)

Y = sin(2x − π/8)

Y = cos(x + π/8)

Y = cos(8x − π)

From Shifted Graphs to Equations: Phase Shift Mastery

Take a graph with a moved peak, trough, or midline crossing and write its exact equation. You’ll keep the amplitude and period the same while locking in the correct shift. Clear steps, neat algebra, and lots of reps to...

Questions: 20 | Attempts: 10 | Last updated: Jan 22, 2026

Sample Question
Which equation represents the graph of y = sin(x) shifted π/3 units to the right?

Y = sin(x + π/3)

Y = sin(x − π/3)

Y = sin(π/3 − x)

Y = sin(−x + π/3)