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Functions Test!

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Quick recap Each question will appear for 20s and you must try to answer as many as you can… A translation of 5 units in the x direction means that you replace… f(x)-5 represents what transformation? y=(2x) 2 represents what transformation of y=x 2 What two transformations change y=3x+1 into y=- 3x+2? Why must you be careful if translating and stretching in the x direction? x with x-5 Translation 5 units down in y or -5 units in y Stretch scale factor 1 / 2 in the x direction Reflect in the x axis followed by translation of 1 unit in y The order matters and gives a different image.

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Combined Transformations Know when order combined transformations is important Understand how to perform a combination of transformations where the same variable is replaced. Be able to show these combinations of transformations in function notation. How you can find out what pairs of transformations cause a function to change into another.

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Notation You need to be able to interrupt combined transformations with function notations.

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Notation You need to be able to interrupt combined transformations with function notations.

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Notation You need to be able to interrupt combined transformations with function notations.

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Dominoes time!

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The order of combinations When doing combined transformations on the x and y variable, the order doesn’t matter. BUT if you do two transformations on the same variable, the order does matter!

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Backwards You will need to be able to find transformations if given an image and what it was mapped from. e.g. What two transformations maps

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Backwards You will need to be able to find transformations if given an image and what it was mapped from.

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Have a go at Exam Qs

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Independent Study Exercise C p49 (solution p169)

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Transformations on the Coordinate Plane. Example 2-2a A trapezoid has vertices W(–1, 4), X(4, 4), Y(4, 1) and Z(–3, 1). Trapezoid WXYZ is reflected.

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