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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Trigonometric Identities, Graphs and FormulasSection:Translations and Reflections of Trigonometric Graphs
 

Problem: 1

Explain how the graph of y = sin x can be transformed to produce the graph of the function y = 7 + sin x.


Problem: 3

How can the graph of y = 9 cos(4 x – 7) be obtained by shifting the graph of y = 9 cos 4x?


Problem: 5

Explain how the graph of y = cos x can be transformed to produce the graph of the function


Problem: 7

Find an equation of the graph of y = (1/5) sin 7x translated down 5 units and reflected in the line y = –5.


Problem: 9

Find an equation of the graph of y = 5 tan (π/3)x translated up 7 units and right 1/6 unit, and then reflected in the line y = 7.


Problem: 11

Graph the given function:


Problem: 13

Graph the given function:


Problem: 15

Graph the given function:


Problem: 17

Find a function for the sinusoid with maximum at (π/6, 14) and minimum at (0, –4).


Problem: 19

Find a function for the sinusoid with maximum at (π/4, –3) and minimum at

(π/8, –7).


Problem: 21

Find a function for the sinusoid.


Problem: 23

Find a function for the sinusoid.


Problem: 1

Explain how the graph of y = sin x can be transformed to produce the graph of the function y = 7 + sin x.


Problem: 3

How can the graph of y = 9 cos(4x – 7) be obtained by shifting the graph of y = 9 cos 4x?


Problem: 5

Explain how the graph of y = cos x can be transformed to produce the graph of the function


Problem: 7

Find an equation of the graph of y = (1/5) sin 7x translated down 5 units and reflected in the line y = –5.


Problem: 9

Find an equation of the graph of y = 5 tan (π/3)x translated up 7 units and right 1/6 unit, and then reflected in the line y = 7.


Problem: 11

Graph the given function:


Problem: 13

Graph the given function:


Problem: 15

Graph the given function:


Problem: 17

Find a function for the sinusoid with maximum at (π/6, 14) and minimum at (0, –4).


Problem: 19

Find a function for the sinusoid with maximum at (π/4, –3) and minimum at

(π/8, –7).


Problem: 21

Find a function for the sinusoid.


Problem: 23

Find a function for the sinusoid.