Transformations of Trigonometric Functions

Transformations of Trigonometric Functions

10th - 12th Grade

26 Qs

quiz-placeholder

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Transformations of Trigonometric Functions

Transformations of Trigonometric Functions

Assessment

Quiz

Mathematics

10th - 12th Grade

Medium

CCSS
HSF.IF.C.7, HSF.TF.B.5, HSF.TF.A.4

+2

Standards-aligned

Created by

Joan Barrera

Used 52+ times

FREE Resource

26 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the period

 f(x)=cos 12(xπ2)1f\left(x\right)=\cos\ \frac{1}{2}\left(x-\frac{\pi}{2}\right)-1  

 12\frac{1}{2}  

1

-1

4 π\pi  

Tags

CCSS.HSF.TF.A.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the amplitude.
 f(x)=cos 12(xπ2)1f\left(x\right)=\cos\ \frac{1}{2}\left(x-\frac{\pi}{2}\right)-1  

1

 12\frac{1}{2}  

-1

4

Tags

CCSS.HSF.TF.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the phase shift.
 f(x)=cos 12(xπ2)1f\left(x\right)=\cos\ \frac{1}{2}\left(x-\frac{\pi}{2}\right)-1  

left  π2\frac{\pi}{2}  

right  π2\frac{\pi}{2}  

up 1

down 1

Tags

CCSS.HSF.IF.C.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt


Find the vertical shift.
 f(x)=cos 12(xπ2)1f\left(x\right)=\cos\ \frac{1}{2}\left(x-\frac{\pi}{2}\right)-1  


right  π2\frac{\pi}{2}  

left  π2\frac{\pi}{2}  

up 1

down 1

Tags

CCSS.HSF.IF.C.7

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 f(x)=sin 43(x+3π2)+2f\left(x\right)=\sin\ \frac{4}{3}\left(x+\frac{3\pi}{2}\right)+2 
 

Find the amplitude.

1

 3π2\frac{3\pi}{2}  

left  3π2\frac{3\pi}{2}  

up 2

Tags

CCSS.HSF.TF.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 f(x)=sin 43(x+3π2)+2f\left(x\right)=\sin\ \frac{4}{3}\left(x+\frac{3\pi}{2}\right)+2  

Find the period.

1

 43\frac{4}{3}  

 3π2\frac{3\pi}{2}  

up 2

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 f(x)=sin 43(x+3π2)+2f\left(x\right)=\sin\ \frac{4}{3}\left(x+\frac{3\pi}{2}\right)+2  

Find the phase shift.

right  3π2\frac{3\pi}{2}  

left  3π2\frac{3\pi}{2}  

up 2

down 2

Tags

CCSS.HSF.IF.C.7

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