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warmup 4/4 - Printable Math Worksheets 11th Grade - Wayground

warmup 4/4

Sherri Morrisey

Created by Sherri Morrisey

13 questions

11th Grade

Math

Updated Mar 2026

Warmup 4/4 is a Grade 11 mathematics worksheet with 13 multiple-choice questions on interpreting parent trigonometric graphs and writing transformed functions. Students identify parent sine and cosine functions, recognize vertical and horizontal transformations, determine amplitude and period, and select equations that match trigonometric graphs. The worksheet also includes a function-to-function transformation question involving a vertical translation. This free printable worksheet gives students focused practice connecting visual graph features to algebraic descriptions of trigonometric functions. It works well as a warm-up, review activity, or quick formative assessment before lessons on graph transformations and sinusoidal equations. A complete answer key is included to support efficient checking and feedback.

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warmup 4/4

Total questions: 13

Name
Class
Date
1.
This is a graph of which parent trig function?

This is a graph of which parent trig function?

a)

y=tan⁡xy=\tan x

b)

y=sin⁡xy=\sin x

c)

y=cos⁡xy=\cos x

2.
This is a graph of which parent trig finction?

This is a graph of which parent trig finction?

a)

y=sin⁡xy=\sin x

b)

y=tan⁡xy=\tan x

c)

y=cos⁡xy=\cos x

3.
This is a graph of which parent trig function?

This is a graph of which parent trig function?

a)

y=tan⁡xy=\tan x

b)

y=cos⁡xy=\cos x

c)

y=sin⁡xy=\sin x

4.
What is the graph and transformation?

What is the graph and transformation?

a)

cosine function shifted left 2 units

b)

sine function shifted down 2 units

c)

sine function shifted up 2 units

d)

cosine function shifted right 2 units

5.

What is the amplitude of y=2sin⁡xy=2\sin x  ?

a)

2 π\pi  

b)

2

c)

12\frac{1}{2}  

d)

-2

6.
What is the amplitude of the sine graph?

What is the amplitude of the sine graph?

a)

4

b)

2

c)

6

d)

3

7.

What is the period of the function y=2cos⁡(3x+1)y=2\cos\left(3x+1\right) ? 

a)

2π2\pi  

b)

3

c)

23\frac{2}{3}  

d)

2π3\frac{2\pi}{3}  

8.

 What is the period of the function y=2sin⁡ 23x−1y=2\sin\ \frac{2}{3}x-1 ?

a)

23\frac{2}{3}  

b)

2

c)

23π\frac{2}{3}\pi  

d)

3π3\pi  

9.
What is the equation of the function?

What is the equation of the function?

a)

y=cos⁡x−3y=\cos x-3

b)

y=sin⁡(x−3)y=\sin\left(x-3\right)

c)

y=sin⁡x−3y=\sin x-3

d)

y=cos⁡(x−3)y=\cos\left(x-3\right)

10.
What is the equation of the function?

What is the equation of the function?

a)

y=−5cos⁡xy=-5\cos x

b)

y=−5sin⁡xy=-5\sin x

c)

y=sin⁡x−5y=\sin x-5

d)

y=cos⁡x−5y=\cos x-5

11.
What is the equation of the function?

What is the equation of the function?

a)

y=4sin⁡(x+1)y=4\sin\left(x+1\right)

b)

y=4sin⁡(x−1)y=4\sin\left(x-1\right)

c)

y=4cos⁡(x+1)y=4\cos\left(x+1\right)

d)

y=4cos⁡(x−1)y=4\cos\left(x-1\right)

12.
What is the equation of the function?

What is the equation of the function?

a)

y=sin⁡(x+1)+2y=\sin\left(x+1\right)+2

b)

y=sin⁡(x−1)+2y=\sin\left(x-1\right)+2

c)

y=cos⁡(x−1)+2y=\cos\left(x-1\right)+2

d)

y=cos⁡(x+1)+2y=\cos\left(x+1\right)+2

13.

Let f(t) = sin(t) and g(t) = sin(t) + 4. What transformation of f(t) results in g(t)?

a)

Vertical Translation

b)

Horizontal Translation

c)

Vertical Dilation

d)

Horizontal Dilation

WaygroundAnswer Key

warmup 4/4

Total questions: 13

1.
b)

y=sin⁡xy=\sin x

2.
c)

y=cos⁡xy=\cos x

3.
a)

y=tan⁡xy=\tan x

4.
c)

sine function shifted up 2 units

5.
b)

2

6.
d)

3

7.
d)

2π3\frac{2\pi}{3}  

8.
d)

3π3\pi  

9.
d)

y=cos⁡(x−3)y=\cos\left(x-3\right)

10.
a)

y=−5cos⁡xy=-5\cos x

11.
b)

y=4sin⁡(x−1)y=4\sin\left(x-1\right)

12.
b)

y=sin⁡(x−1)+2y=\sin\left(x-1\right)+2

13.
a)

Vertical Translation

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FAQs

What does the Warmup 4/4 worksheet cover?

This Grade 11 mathematics worksheet uses 13 multiple-choice questions to assess parent trigonometric graphs, sine and cosine transformations, amplitude, period, and equations represented by graphs. Students connect visible graph features with algebraic descriptions, including identifying a vertical translation and determining the transformation from f(t) = sin(t) to g(t) = sin(t) + 4.

How can I use this worksheet to teach transformations of sine and cosine functions?

Introduce the worksheet by having students identify whether each displayed graph matches a parent sine or cosine function before discussing changes in position, amplitude, and period. Then ask students to explain which graph feature supports each multiple-choice answer, moving from graph identification to transformation selection and equation writing. Use the final function-comparison item to reinforce that adding a constant produces a vertical translation.

What mistakes should I watch for when students complete this trigonometric graphs worksheet?

Students may confuse the parent sine and cosine graphs or mistake a horizontal shift for a vertical shift when interpreting the transformation choices. They may also read amplitude as the function's maximum value, overlook the period when selecting an equation, or choose an equation without checking it against the graph's midline and position. In the final item, watch for students who incorrectly classify adding 4 to sin(t) as a horizontal transformation.

How do I assign and grade the Warmup 4/4 worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, so you can assign the 13 multiple-choice questions in the format that fits your lesson. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable option can also support classrooms that are reducing screen time.

How can I differentiate this worksheet for students who need support with trigonometric graphs?

Under the worksheet's Advanced Settings, adjust font spacing or choose a larger font size to make the graph-transformation questions and answer choices easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options better support access to the amplitude, period, and equation items.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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