11th Grade Phase Shift Quizzes, Questions & Answers

11th Grade

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: Nov 20, 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

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: Nov 20, 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)