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MCQ 1 - B9 Understand the effect of simple transformations on the graph of y = f(x), including sketching associated graphs y = af(x), y = f(x) + a, y = f(x + a), y = f(ax), and combinations of these transformations. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

Which response best matches the A-level Maths objective on understand the effect of simple transformations on the graph…?.

  1. A.B9: choose the method that matches Understand the effect of simple transformations on the graph…
  2. B.Use any familiar GCSE calculation even if it ignores Understand the effect of simple transformations on the graph…
  3. C.Write only the final answer without showing the mathematical method
  4. D.Change the notation or restrictions to make the algebra look simpler

Model answer

What a good answer should say

  • The correct answer is B9: choose the method that matches Understand the effect of simple transformations on the graph….
  • This option is best because link the algebraic feature to the corresponding graph feature, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.

This answer is tied to the objective: B9 Understand the effect of simple transformations on the graph of y = f(x), including sketching associated graphs y = af(x), y = f(x) + a, y = f(x + a), y = f(ax), and combinations of these transformations..

Explanation

Why this works

Use the explanation to connect the worked answer back to B9 Understand the effect of simple transformations on the graph of y = f(x), including sketching associated graphs y = af(x), y = f(x) + a, y = f(x + a), y = f(ax), and combinations of these transformations..

B9: choose the method that matches Understand the effect of simple transformations on the graph… is the correct option. It directly supports understand the effect of simple transformations on the graph… by requiring the student to link the algebraic feature to the corresponding graph feature.

The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.

Maths method check

  • Topic focus: Pure Mathematics.
  • Question style: practice.
  • Reasoning demand: recall.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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