Year 11 Maths Advanced Module 1 Checkpoint 3

Checkpoint Quiz 3

This checkpoint covers Graph Transformations: translations, reflections, dilations, combined transformations, sketching, and further transformations (Lessons 9–14).

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Quick Review

  • General form: $y = af(b(x - h)) + k$
  • Translations: $h$ = horizontal, $k$ = vertical. Remember to factor out $b$ before reading $h$.
  • Reflections: $-f(x)$ reflects in the $x$-axis; $f(-x)$ reflects in the $y$-axis.
  • Dilations: $a$ = vertical dilation; $b$ = horizontal dilation by factor $\frac{1}{|b|}$.
  • $|f(x)|$: reflect negative parts above the $x$-axis.
  • $f(|x|)$: even graph — keep right side, mirror across $y$-axis.
  • $\frac{1}{f(x)}$: zeros become asymptotes; maxima and minima swap.
MC

Multiple Choice

5 random questions from the Checkpoint 3 bank — feedback shown immediately

Checkpoint 3 Complete

Great work finishing Checkpoint 3.

If you struggled with any questions, go back to Lessons 9–14 to review before attempting the Module Quiz.

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