4.1.4: how do i shift trig functions?
DESCRIPTION
4.1.4: How Do I Shift Trig Functions?. Today you will use shifts and vertical stretches to graph and find the equations of sinusoidal functions. You will also learn the 5-point method for sketching graphs. 4.1.3 Homework. 4.1.3 Homework. Today. Recall from Lesson 4.1.3. - PowerPoint PPT PresentationTRANSCRIPT
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Today you will use shifts and vertical stretches to graph and find the equations of sinusoidal functions. You will also learn the 5-point method for sketching
graphs.
4.1.4: How Do I Shift Trig Functions?
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4.1.3 Homework
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4.1.3 Homework
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Today
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What does the “normal” sine graph look like?
Recall from Lesson 4.1.3
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Recall from Lesson 4.1.3What does the “normal” cosine graph look like?
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Generating the Sine & Cosine Graph
Sine Wave Tracer
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Draw the “normal” graph for each. Label the 5 key points.
Maximum? Minimum? Crossings?Period? Amplitude?Parent EquationGeneral Equation
Add Sine & Cosine to your Parent Graph Tool Kit Notes
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Sine GraphPeriod: 2π
Amplitude: 1
Maximum:
Minimum:
Crossings:
( ,1)2
3( , 1)2
(0,0) ( ,0) (2 ,0)
Parent Equation: sinGeneral Equation: sin( ( ))
y xy a b x c d
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Cosine GraphParent Equation: cosGeneral Equation: cos( ( ))
y xy a b x c d
Period: 2π
Amplitude: 1
Maximum:
Minimum:
Crossings:
(0,1) and (2 ,1)
( , 1) 3( ,0) ( ,0)
2 2
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Transformations Review
siny A B x C D
Vertical Stretch/ Shrink
Horizontal Stretch/ Shrink
Left/ Right
Up/Down
Reflect over x-axis
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Together as a Class
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Amplitude and Period Changes
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Complete4-49 & 4-50 with
your partner.
Partner Work
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4-49 & 4-50
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4-51 Class Discussion
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5-point Method
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5-52: Part a together as a class
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4-52 a
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Complete4-52 parts b, c, and d with your partner.
Partner Work
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5-52: Practice
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4-52 b
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4-52 c
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4-52 d
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Use the 5-point method to help you sketch the graph for the function that was given to you.
Exit Slip
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HW 4.1.44-53 to 4-61
(pg. 197)
Assignment