Which do you apply first, the transformations inside the brackets or those outside?

Inside first , then outside. Every transformation is applied to the graph one at a time , so the sequence has to be worked through rather than done all at once.

True or False? Two transformations applied in either order always give the same final graph.

False. Applying them in the wrong order generally produces a different graph, which is exactly why the rules about inside and outside exist.

In what order do you apply transformations when a modulus is involved?

Everything inside the modulus sign first, then the effect of the modulus itself, then anything outside it. The modulus behaves like a bracket: whatever it contains is dealt with before it acts.

What happens to a graph's asymptotes under a combination of transformations?

They move too, and are transformed one at a time in the same order as the graph itself. An asymptote is defined by the graph's own behaviour, so it follows the graph wherever the transformation sends it.

International A Level (IAL)MathsEdexcelPure 3FlashcardsAlgebra & FunctionsCombinations of Transformations

Combinations of Transformations (Edexcel International A Level (IAL) Maths: Pure 3): Flashcards

Exam code: YMA01

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FrontCombinations of Transformations
In $y = k f (a x + b) + c$ , which transformations act horizontally?

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Cards in this collection (6)

In $y = k f (a x + b) + c$ , which transformations act horizontally?
The ones inside the brackets, $a$ and $b$ .
The $k$ and the $c$ , which sit outside the brackets, act vertically instead.
Complete the order within each group:
Inside the brackets, $______$ come before stretches and reflections. Outside the brackets, stretches and reflections come before $______$ .
The completed rules are:
Inside the brackets, translations come before stretches and reflections. Outside the brackets, stretches and reflections come before translations.
Notice that the order of the two kinds reverses between inside and outside.
Which do you apply first, the transformations inside the brackets or those outside?
Inside first, then outside.
Every transformation is applied to the graph one at a time, so the sequence has to be worked through rather than done all at once.
True or False?
Two transformations applied in either order always give the same final graph.
False.
Applying them in the wrong order generally produces a different graph, which is exactly why the rules about inside and outside exist.
In what order do you apply transformations when a modulus is involved?
Everything inside the modulus sign first, then the effect of the modulus itself, then anything outside it.
The modulus behaves like a bracket: whatever it contains is dealt with before it acts.
What happens to a graph's asymptotes under a combination of transformations?
They move too, and are transformed one at a time in the same order as the graph itself.
An asymptote is defined by the graph's own behaviour, so it follows the graph wherever the transformation sends it.

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