transformations of these graphs LO SWBAT state the transformations of the sine and cosine Graphs in words CO SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs LO SWBAT state the transformations of the sine and cosine ID: 790192
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Slide1
PreCalc/Trig 4.4a/b
CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Slide2CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Graphing Sine
𝛳
Slide3CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Graphing Cosine
𝛳
Slide4Amplitude is the height of the sinusoid from the center. It is always written as |a|.AmplitudeCO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine
Graphs in words.
Slide5CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Graphing With Shifts
Graph f(x) = sin
Graph f(x) = 2cos
+ 2
Slide6Assignment: 4.4 WS Part I and IICO: SWBAT generate the graphs of the sine and cosine functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Slide7CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Graphing With Shifts
Graph f(x) = sin
+1
Slide8PreCalc/Trig 4.4A/B/C
CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Slide9The period is the length of one complete cycle of a sinusoid. With no changes to the equation, it is 2 for sine and cosine,
and for tangent.To find the period: p =
Period
CO: SWBAT generate the graphs of the sine and cosine functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine
Graphs in words.
Slide10CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Graphing With Shifts, Amp., and Period Change
Graph f(x) = -sin
Graph f(x) =
cos
Slide11CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Graphing With Shifts
Graph f(x) = -3cos
- 1
Slide12Assignment: 4.4 WS Part II and III
CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Slide13CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Objective Check
Graph f(x) = -cos
+ 1
Slide14CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Objective Check
Graph f(x) = -sin
+ 2
Slide15PreCalc/Trig 4.5a
CO: SWBAT generate the graphs of the reciprocal functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the reciprocal graphs.
Slide16CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Graphing With Shifts
Graph f(x) = -3sin
Note: You have to reflect around the y axis first, the phase shift (horizontal shift) is next!
Slide17CO: SWBAT generate the graphs of the sine and cosine functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the sine and cosineGraphs in words.
Graphing Tangent
𝛳
Slide18Graphing Cosecant
𝛳
Graph f(x) =
cscx
CO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal
graphs.
Slide19Graphing Secant
𝛳
Graph f(x) =
secx
CO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal
graphs.
Slide20Graphing Cotangent
𝛳
Graph f(x) =
cotx
CO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal
graphs.
Slide21Graphing With Shifts
Graph f(x) = -2sec(
x +
CO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal
graphs.
Slide22Graphing With Shifts
Graph f(x) = 3csc(x
π
CO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal
graphs.
Slide23Assignment: 4.5a WS Part IV and VCO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal graphs.
Slide24Objective Check
Graph f(x) = ½ sec(2x
π
CO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal
graphs.
Slide25PreCalc/Trig 4.5b
CO: SWBAT generate the graphs of the reciprocal functions and explore various transformations of these graphs. LO: SWBAT state the transformations of the reciprocal graphs.
Slide26Graphing With Shifts
Graph f(x)
= 2cot(2x
π
1
CO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal
graphs.
Slide27Graphing With Shifts
Graph f(x)
=
2tan(2x
π
1
CO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal
graphs.
Slide28Finding the Equation of the
Sinusiod
CO: SWBAT find the equation of the sinusoid given the graph. LO: SWBAT state the
transformations of the graphs in an equation.
Slide29Finding the Equation of the
Sinusiod
CO: SWBAT find the equation of the sinusoid given the graph. LO: SWBAT state the
transformations of the graphs in an equation.
Slide30Finding the Equation of the
Sinusiod
CO: SWBAT find the equation of the sinusoid given the graph. LO: SWBAT state the
transformations of the graphs in an equation.
Slide31Assignment: WS 4-3CO: SWBAT generate the graphs of the reciprocal functions and explore various
transformations of these graphs. LO: SWBAT state the transformations of the reciprocal graphs.