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Equations of Transformed Functions | Year 1 Pure | A Level Maths

Going from a transformed graph back to its equation is a higher-order skill that demands a confident grasp of every standard transformation. In this lesson you will learn how to apply combinations of y = af(x), y = f(x) + a, y = f(x + a) and y = f(ax) to derive the equation of a curve from a description, and how to handle multiple transformations in the correct order. Examples cover the full A-level family of functions including quadratics, cubics, trig and exponentials.

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Lesson Video On Equations of Transformed Functions

Follow the lesson video carefully with a pen and paper. By the end of it you should be comfortable with this topic. If you want a blank copy of this lesson to follow along, scroll down to the PDF viewer below and select “Student Notes Template” and download using the link at the top of the PDF viewer.

Lesson Resources For Equations of Transformed Functions

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