🗊Презентация Basic transformations of graphs

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Basic transformations of graphs, слайд №1
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Lecture overview: learning outcomes At the end of this lecture, you should be able to: 1.5.1 Sketch the graph of a cubic function given in factorized form. 1.5.2 Apply a horizontal translation to a given curve. 1.5.3 Apply a vertical translation to a given curve. 1.5.4 Apply a vertical stretch to a given curve. 1.5.5 Apply a horizontal stretch to a given curve. 1.5.6 Apply simple combined transformations to a given curve.
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Lecture overview: learning outcomes At the end of this lecture, you should be able to: 1.5.1 Sketch the graph of a cubic function given in factorized form. 1.5.2 Apply a horizontal translation to a given curve. 1.5.3 Apply a vertical translation to a given curve. 1.5.4 Apply a vertical stretch to a given curve. 1.5.5 Apply a horizontal stretch to a given curve. 1.5.6 Apply simple combined transformations to a given curve.

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1.5.1 : Sketch the graph of cubic function given in factorized form.
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1.5.1 : Sketch the graph of cubic function given in factorized form.

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Transformations We will now consider four elementary transformations and some simple combined transformations. f(x)  f(x+a) Translation (x-axis) f(x)  f(x)+a Translation (y-axis) f(x)  f(ax) Scaling (stretching)(x-axis) f(x)  af(x) Scaling (stretching)(y-axis)
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Transformations We will now consider four elementary transformations and some simple combined transformations. f(x)  f(x+a) Translation (x-axis) f(x)  f(x)+a Translation (y-axis) f(x)  f(ax) Scaling (stretching)(x-axis) f(x)  af(x) Scaling (stretching)(y-axis)

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1.5.2. Horizontal translation
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1.5.2. Horizontal translation

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1.5.3. Vertical translation
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1.5.3. Vertical translation

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1.5.4. Vertical stretch
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1.5.4. Vertical stretch

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1.5.5 Horizontal stretch
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1.5.5 Horizontal stretch

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1.5.6 Simple combined transformations
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1.5.6 Simple combined transformations

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In this lecture, we covered 1.5.1 Sketch the graph of a cubic function given in factorized form. 1.5.2 Apply a horizontal translation to a given curve. 1.5.3 Apply a vertical translation to a given curve. 1.5.4 Apply a vertical stretch to a given curve. 1.5.5 Apply a horizontal stretch to a given curve. 1.5.6 Apply simple combined transformations to a given curve.
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In this lecture, we covered 1.5.1 Sketch the graph of a cubic function given in factorized form. 1.5.2 Apply a horizontal translation to a given curve. 1.5.3 Apply a vertical translation to a given curve. 1.5.4 Apply a vertical stretch to a given curve. 1.5.5 Apply a horizontal stretch to a given curve. 1.5.6 Apply simple combined transformations to a given curve.

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Next lecture 1.6 Simultaneous equations
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Next lecture 1.6 Simultaneous equations

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Material in some of these slides has been reproduced from: Material in some of these slides has been reproduced from: Attwood, G., Macpherson, A., Moran, B., Petran, J., Pledger, K., Staley, G. and Wilkins, D. (2008), Edexcel AS and A Level Modular Mathematics series C1, Pearson, Harlow, UK. Attwood, G., Macpherson, A., Moran, B., Petran, J., Pledger, K., Staley, G. and Wilkins, D. (2008), Edexcel AS and A Level Modular Mathematics series C3, Pearson, Harlow, UK.
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Material in some of these slides has been reproduced from: Material in some of these slides has been reproduced from: Attwood, G., Macpherson, A., Moran, B., Petran, J., Pledger, K., Staley, G. and Wilkins, D. (2008), Edexcel AS and A Level Modular Mathematics series C1, Pearson, Harlow, UK. Attwood, G., Macpherson, A., Moran, B., Petran, J., Pledger, K., Staley, G. and Wilkins, D. (2008), Edexcel AS and A Level Modular Mathematics series C3, Pearson, Harlow, UK.

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