Phase Shift Quizzes, Questions & Answers

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Top Trending Phase Shift Quizzes

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: 13 | Last updated: Jan 22, 2026

Sample Question 1
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)

Sample Question 2
The graph of y = cos(x) is shifted left by π/2. Which equation matches the new graph?

Y = cos(x + π/2)

Y = cos(x − π/2)

Y = cos(π/2 − x)

Y = cos(−x − π/2)

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: 14 | Last updated: May 13, 2026

Sample Question 1
In y = cos(x − C), positive C shifts right.

True

False

Sample Question 2
What does a phase shift represent for sine and cosine functions?

A horizontal translation along the x-axis

A vertical stretch

A change in amplitude

A change in period

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: 12 | Last updated: May 13, 2026

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)

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