10th Grade Vertical Shift Quizzes, Questions & Answers

10th Grade

Top Trending Vertical Shift Quizzes

Write Sinusoidal Equations with Vertical Shifts Quiz

Build equations that sit at the right height. You’ll translate specs like “midline at y = −3” or “max at 7, min at −1” into clean sine or cosine formulas with the correct vertical...

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

Sample Question 1
The function y = −2 sin(4x) − 5 is formed by shifting y = −2 sin(4x). What is the shift, and how does it affect amplitude?

Shift up 5; amplitude becomes 3

Shift down 5; amplitude remains 2

Shift up 5; amplitude remains 2

Shift down 5; amplitude becomes 7

Sample Question 2
A cosine function has maximum 12 and minimum 4. What vertical shift produces an equivalent equation of the form y = A cos(Bx) + d relative to y = A cos(Bx)?

Shift up 4

Shift down 8

Shift up 8

Shift down 4

Apply and Interpret Vertical Shifts in Trig Graphs Quiz

Turn graphs into stories. You’ll explain what the vertical shift means in context (average temperature, center height, baseline level), compute ranges, and compare models that share shape but sit at different...

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

Sample Question 1
The function y = sin(x) + 4 is a vertical translation of y = sin(x). What is the midline of the new function?

Y = 0

Y = −4

Y = 1

Y = 4

Sample Question 2
The graph of y = cos(x) is shifted down 6 units. Which equation represents the new function?

Y = cos(x) + 6

Y = cos(x) − 6

Y = 6cos(x)

Y = cos(x − 6)

Recent Vertical Shift Quizzes

Vertical Shift Effect Quiz: Effect of Vertical Shift on Maxima, Minima, and Midline

How do vertical shifts reshape a function’s key features? In this quiz, you’ll analyze how raising or lowering a graph affects its maxima, minima, midline, and overall vertical structure. You’ll work with...

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

Sample Question
Which changes occur when D increases from 0 to 3 for y = sin(x) + D?

Midline moves from y = 0 to y = 3

Maximum moves from 1 to 4

Minimum moves from −1 to 2

Amplitude increases from 1 to 4

Period changes from 2π to 6π

Vertical Shift Quiz: Vertical Shift Fundamentals

How does moving a graph up or down change its overall behavior? In this quiz, you’ll explore vertical shifts and see how they reposition sine, cosine, and other functions without altering their shape. You’ll...

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

Sample Question
In y = sin(x) + 3, what transformation has been applied to y = sin(x)?

Vertical stretch by 3

Shift up by 3 units

Shift right by 3 units

Shift left by 3 units