Phase Shift Quizzes, Questions & Answers

Explore the fascinating world of phase shifts with our engaging Phase Shift quiz. Read more

Top Trending Phase Shift Quizzes

Modeling with Phase Shifts: Real-World Trig Translations

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: 10 | Last updated: Oct 31, 2025

Sample Question 1
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

Sample Question 2
The function y = sin(x + π/2) is equivalent to which basic trig function with no horizontal shift?

Y = cos(x)

Y = −cos(x)

Y = sin(x)

Y = −sin(x)

Sample Question 3
Consider y = 2sin(3(x − π/6)) + 1. What is the horizontal (phase) shift?

Left π/6

Right π/6

Left π/3

Right π/3

Recent 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: 10 | Last updated: Oct 31, 2025

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)

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: Oct 31, 2025

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