1. What would happen to the graph of the equation y= sin x if the equation was changed to y = (sin x +1) ? the graph would shift up 1 the graph would shift left 1 the graph would shift down 1 the graph would shift down 2 B C D

Trigonometry (MindTap Course List)
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Chapter2: Analytic Trigonometry
Section: Chapter Questions
Problem 21T
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ne he ale of l.coebrch.nd.
n Amoteame. Jebrenth ts
5.3 T. functas fan n Par
1.
3.
ESCO-5
Sin &:
The graph of the parent function is given. Sketch the function in the space provided. Each tiek
mark on the x-axis represents 30-degrees. Each mark on the y-axis is 1 unit.
seco
7.
y = 2 sin(x)
8.
y - - tan x
9.
y = -sin (3x)
10. y = tan (x - 60)
11.
y = cos (x + 30)
12.
y = 3 cos (2x)
13.
y = - cos (x)
14.
y = -2sin(x) -1
Transcribed Image Text:ne he ale of l.coebrch.nd. n Amoteame. Jebrenth ts 5.3 T. functas fan n Par 1. 3. ESCO-5 Sin &: The graph of the parent function is given. Sketch the function in the space provided. Each tiek mark on the x-axis represents 30-degrees. Each mark on the y-axis is 1 unit. seco 7. y = 2 sin(x) 8. y - - tan x 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x) 13. y = - cos (x) 14. y = -2sin(x) -1
*g angk> Part
Trig functions of
the t circle is the le of aday Ic.corehat
e X-g courante plane Jedermat
5.3
Ex Prove Ahat the Polnd P
3.
CSCO 5
Sin e
College Algebra
Graphs of Trig Functions
Circle the best answer.
Name:
1.
What would happen to the graph of the equation y = sin x if the equation was changed to y = (sin x +1)?
the graph would shift up 1
the graph would shift left 1
the graph would shift down 1
the graph would shift down 2
2.
How is the graph of y = Sin(x - 30) different from that of the function y = sin x?
It is shifted 30 units to the left.
It is shifted 30 units to the right.
It is shifted 30 units up.
It is shifted 30 units down,
3.
How is the graph of y = 2 cos(x) different from that of the parent function y = cos x?
There are 2 complete cycles of the cosine graph.
There is only half of one cycle of the cosine graph.
The amplitude is 2- it has higher peaks and lower valleys.
The amplitude is (1/2) – it has a vertical compression
4.
In the graph of y=A tan(Bx + C) + D, which letter represents a change in frequency?
А.
A
В.
C.
C
D.
D
5.
If the parent function, y =tan x is shifted up 5 units and right 30 units (degrees), what is the equation of the new
graph?
y = (tan x + 30) – 5
y = (tan x- 30) + 5
y = (tan x-5) + 30
y = (tan x + 5) - 30
6.
If the parent function, y = sin x, had a frequency and amplitude of 3 and is shifted up 2 units, what is the equation
of the new graph?
A
y = -sin(3x) + 2
B
y = 3sin (3x) + 2
C
y = -sin (3x) – 2
y = sin (-3x) – 2
E
y =2sin (3x) + 3
ABCD
ABCD
ABCD
ABCD
Transcribed Image Text:*g angk> Part Trig functions of the t circle is the le of aday Ic.corehat e X-g courante plane Jedermat 5.3 Ex Prove Ahat the Polnd P 3. CSCO 5 Sin e College Algebra Graphs of Trig Functions Circle the best answer. Name: 1. What would happen to the graph of the equation y = sin x if the equation was changed to y = (sin x +1)? the graph would shift up 1 the graph would shift left 1 the graph would shift down 1 the graph would shift down 2 2. How is the graph of y = Sin(x - 30) different from that of the function y = sin x? It is shifted 30 units to the left. It is shifted 30 units to the right. It is shifted 30 units up. It is shifted 30 units down, 3. How is the graph of y = 2 cos(x) different from that of the parent function y = cos x? There are 2 complete cycles of the cosine graph. There is only half of one cycle of the cosine graph. The amplitude is 2- it has higher peaks and lower valleys. The amplitude is (1/2) – it has a vertical compression 4. In the graph of y=A tan(Bx + C) + D, which letter represents a change in frequency? А. A В. C. C D. D 5. If the parent function, y =tan x is shifted up 5 units and right 30 units (degrees), what is the equation of the new graph? y = (tan x + 30) – 5 y = (tan x- 30) + 5 y = (tan x-5) + 30 y = (tan x + 5) - 30 6. If the parent function, y = sin x, had a frequency and amplitude of 3 and is shifted up 2 units, what is the equation of the new graph? A y = -sin(3x) + 2 B y = 3sin (3x) + 2 C y = -sin (3x) – 2 y = sin (-3x) – 2 E y =2sin (3x) + 3 ABCD ABCD ABCD ABCD
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