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Transforming Graphs y=f(x)

Transforming Graphs y=f(x)

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Lesson

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8 minute activity

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Graph showing original curve y=f(x) with transformed curves y=f(x)+2, y=-f(x), y=f(x-3) and y=f(-x) on labelled axes and matching key points marked

Treat y=f(x)y=f(x)y=f(x) as the original graph. If f(a)=bf(a)=bf(a)=b, then the graph passes through (a,b)(a,b)(a,b), so transformations can be tracked by moving old points to new positions.

Outside changes happen after the function gives an output, so they change yyy-coordinates. Inside changes happen to the input, so they change xxx-coordinates, and horizontal shifts work in the opposite direction.

Mark a few key points such as intercepts and turning points first. Move those points, then redraw the same overall shape.

Questions

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28 exam-style questions

Practice questions

Question 1

4 marks

The graph of y=f(x)y = f(x)y=f(x) is shown below.

The coordinates of the maximum point of this curve are (1,4)(1, 4)(1,4).

Write down the coordinates of the turning point of the curve with equation

Flashcards

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1 flashcards

Practice flashcards

If the function notation f(−2)=5f(-2)=5f(−2)=5 is given, what are the coordinates of the point on the original graph?

Transforming Graphs y=f(x) Revision Guide

  1. GCSE
  2. /Maths
  3. /Transforming Graphs y=f(x)

Revision notes for CCEA GCSE Maths Transforming Graphs y=f(x): explanations and worked examples.

Practise questions

1 of 5

A point (3,−1)(3,-1)(3,−1) lies on y=f(x)y=f(x)y=f(x). Where does it move on y=f(x)+5y=f(x)+5y=f(x)+5?