10th Grade Phase Shift Quizzes, Questions & Answers

10th Grade

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Phase Shift Basics: Identify Horizontal Shifts in Trig Functions

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: Nov 20, 2025

Sample Question 1
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

Sample Question 2
The function y = cos(2x + π) can be written in the form y = cos[2(x + c)]. What is c?

C = π/2 to the left

C = π/2 to the right

C = −π/2 to the right

C = π to the right

Sample Question 3
Which function is obtained by shifting y = sin x to the left by π/4?

Y = sin(x − π/4)

Y = sin(x + π/2)

Y = sin(x − π/2)

Y = sin(x + π/4)