GCSE Graph Transformations www drfrostmaths com Dr J
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GCSE : : Graph Transformations www. drfrostmaths. com Dr J Frost (jamie@drfrostmaths. com) @Dr. Frost. Maths Last modified: 30 th January 2020
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RECAP : : What are Functions? A function is something which provides a rule on how to map inputs to outputs. You might have seen this as a ‘number machine’. Input Output Input ? Output
RECAP : : Using Functions ? ?
Transformations of Functions ? ? ? ?
Transformations of Functions ! Affects which axis? ? ? What we expect or opposite? ? What we expect ? Opposite ? ?
SKILL #1 : : Effect on specific points Sometimes an exam question might just ask you to determine the effect of the graph transformation on a single point. Change: Affects: Opposite What we expect 3 ? -1
Further Example Edexcel Change: Affects: Opposite What we expect (5, -4) ? (-2, 2) ?
Stretches* Stretches have been removed from the main 2017+ GCSE syllabus. But we can use exactly the same rules as before! Change: Affects: Opposite What we expect 3 ? 10
Stretches* Change: Affects: Opposite What we expect 1. 5 ? -4
Reflections Change: Affects: Opposite What we expect -3 ? -4
Reflections Change: Affects: Opposite What we expect 2 ? 4
Mini-Exercise What effect will the following transformations have on these points? ! a b c d e f g ? ? ? ? ? ? ? ?
SKILL #2 : : Sketching curves using transformations [Edexcel GCSE(9 -1) June 2018 1 H Q 18 Note the +2 is outside the sin function.
Test Your Understanding
SKILL #3 : : Describing Transforms ?
Quickfire Describing Transforms ? ? ?
Exercise (on provided sheet) 1 All questions in this exercise used with permission by Edexcel. ?
Exercise (on provided sheet) 2 ?
Exercise (on provided sheet) 3 ?
Exercise 4 (on provided sheet) ?
Exercise 5 (on provided sheet) ?
Exercise 6 (on provided sheet) ?
Exercise (on provided sheet) 7 ?
Exercise 8 (on provided sheet) ?
Exercise 9 (on provided sheet) ?
Exercise 10 (on provided sheet) ?
Exercise 11 (on provided sheet) ? Reveal
Exercise 12 (on provided sheet) ? Reveal
Exercise 13 (on provided sheet) ?
Exercise 14 (on provided sheet) Match the following graphs to the equations. Equation Graph C D A F B E ?
Exercise (on provided sheet) Here is a sketch of the curve y = a cos bx° + c, 0 ≤ x ≤ 360 15 ?
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