Nayland College

Nayland College - Mathematics

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NZAMT NZQA NZ Grapher NZ Maths Census at School Study It Khan Academy Desmos

Vertical Shift

Graphs HOME | Achievement Objectives | Parabola Graphs | Parabola Questions | Cubics | Hyperbola | Circles | Exponential | Logs | Radians | Trig Graphs Overview | Trig Vertical Shift | Trig Horizontal Shift | Trig Equations | Trig Models | General Translations | Applications | Revision

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Trig graph transformations

Transforming the basic trig graphs: stretching vertically, inverting, translating vertically, compressing horizontally

Transformation in Degrees: Sin graph | Cos Graph | Tan Graph
Transformation in Radians: Sin graph | Cos Graph | Tan Graph
(activate the animations to see the effect on the graph)


Class Notes | Blank Notes

Ex 35.02 Only #1 to 9, #14 to 17

Ex 35.03 #1 to 3, #5 to 10, #12 &13

 

Vertical | Horizontal

Transformation in Degrees: Sin graph | Cos Graph | Tan Graph

Transformation in Radians: Sin graph | Cos Graph | Tan Graph

 

Adding a constant translates (shifts) the graph vertically

Mouse-over the equations to see the graph translation

 

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Vertical stretch

Multiplying by a constant stretches the graph vertically
 

 

Mouse-over the equations to see the graph translation

 

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