Analyze the equation to determine the features of the graph of each function. 5] y = 3 sin 2x - 4 amplitude: period: phase shift: vertical displacement: reflection: 8] y = 7 sec 4 (x+)-1 vertical stretch/shrink: phase shift: vertical displacement: reflection: period: 6] y = -4 cos- amplitude: phase shift: vertical displacement: reflection: cos=-x reflection: period: 9] y = 4 tan x + 6 vertical stretch/shrink: phase shift: vertical displacement: period: 7] y = 5 csc (x-1)+2 vertical stretch/shrink: phase shift: vertical displacement: reflection: 10] y = cot(-x) + 1 vertical stretch/shrink: phase shift: vertical displacement: reflection: period: period:

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question
I need answer for 5-10 all
True or False
1]
Changing the period of a
sine function changes its
domain.
phase shift:
vertical displacement:
Analyze the equation to determine the features of the graph of each function.
5] y = 3 sin 2x - 4
amplitude:
period:
reflection:
8] y = 7 sec 4(x +)-1
vertical stretch/shrink:
phase shift:
vertical displacement:
reflection:
11]
12]
13]
14]
Fill in the blanks to complete the table.
15]
Function
sine
Practice Worksheet: Graphs of Trig Functions
3]
Changing the phase shift of
a tangent function changes
its domain.
16] cotangent
2]
Changing the vertical
displacement of a cosecant
function changes its range.
period:
5
Vertical
Stretch/Shrink
none
6] y = -4
amplitude:
phase shift:
vertical displacement:
reflection:
= -4 cos x
9] y = 4 tan
an²x+6
vertical stretch/shrink:
phase shift:
vertical displacement:
reflection:
4π
Period Phase Shift
2π
3
period:
T
3
3πt
none
right
period:
Vertical
Displacement
up 2
none
7]
4]
Changing the vertical stretch
of a cotangent function
changes its domain.
y = 5 csc (x-7)+
vertical stretch/shrink:
phase shift:
vertical displacement:
reflection:
+2
10] y ==cot(-x)+1
vertical stretch/shrink:
phase shift:
vertical displacement:
reflection:
Equation
period:
y =
period:
3π
y = 2 cos / (x + 3/77) +₁
+4
y = 15 tan =(x-)-10
1
=sec 6x
y = 5 csc (x + 7) +1
Transcribed Image Text:True or False 1] Changing the period of a sine function changes its domain. phase shift: vertical displacement: Analyze the equation to determine the features of the graph of each function. 5] y = 3 sin 2x - 4 amplitude: period: reflection: 8] y = 7 sec 4(x +)-1 vertical stretch/shrink: phase shift: vertical displacement: reflection: 11] 12] 13] 14] Fill in the blanks to complete the table. 15] Function sine Practice Worksheet: Graphs of Trig Functions 3] Changing the phase shift of a tangent function changes its domain. 16] cotangent 2] Changing the vertical displacement of a cosecant function changes its range. period: 5 Vertical Stretch/Shrink none 6] y = -4 amplitude: phase shift: vertical displacement: reflection: = -4 cos x 9] y = 4 tan an²x+6 vertical stretch/shrink: phase shift: vertical displacement: reflection: 4π Period Phase Shift 2π 3 period: T 3 3πt none right period: Vertical Displacement up 2 none 7] 4] Changing the vertical stretch of a cotangent function changes its domain. y = 5 csc (x-7)+ vertical stretch/shrink: phase shift: vertical displacement: reflection: +2 10] y ==cot(-x)+1 vertical stretch/shrink: phase shift: vertical displacement: reflection: Equation period: y = period: 3π y = 2 cos / (x + 3/77) +₁ +4 y = 15 tan =(x-)-10 1 =sec 6x y = 5 csc (x + 7) +1
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning