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Algebra 2 - 9.B Graphing and Transforming Circular Functions Flashcards | StudBud

Explore/Algebra 2 - 9.B Graphing and Transforming Circular Functions

What changes with a vertical shift?

Write the equation of the sinusoid shown below

Algebra 2 - 9.B Graphing and Transforming Circular Functions

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BIM Algebra 2 Trigonometry Graphing and Transforming Sine, Cosine, and Tangent functions

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Questions 10

Answers

1
Write the equation of the sinusoid shown below
y = -3 cos x + 2
y = 3 cos (πx) + 2
y = 3 cos (x/π) + 2
y = -3 cos (x - 1) + 2
2
What changes with a vertical shift?
Phase Shift
Period
Midline
Amplitude
3
What changes with a horizontal shift?
Amplitude
Midline
Period
Phase Shift
4
For the equation below, which statement is false?
The period is π / 2
The point (π / 8, -4) will be on the graph
Asymptotes at -π / 4 and π / 4
The point (-π / 8, -4) will be on the graph
5
For the equation below, which statement is true?
The graph will start at the maximum value
The period will be 3x smaller than the parent
The minimum is -2
Amplitude is 2
6
For the equation below, which statement is false?
The point (3π , 5) will be on the graph
The point (0, 1) will be on the graph
The amplitude is -2
The period is 6π
7
For the equation below, which statement is true?
The period will be twice as large
The graph is a reflection of the y-axis of the parent
The period is π / 2
Amplitude is -4
8
What changes from a horizontal shrink?
Period
Phase Shift
Amplitude
Midline
9
Write the equation of the sinusoid shown below
y = 3 sin (4x / 3) - 2
y = 3 cos (4 / 3 (x - 9π/8)) - 2
y = 3 cos (3πx/2) - 2
y = -3 sin (4x / 3) - 2
10
What changes with a vertical stretch?
Phase Shift
Amplitude
Period
Midline