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← 2023 HSC Extension 1 paper Question 8

Variation 2 · answer guide

Graph transformations — Nested absolute value zeros

Question

For , the zeros occur at

  2. only
  4. no real zeros

This practice question was inspired by Question 8 in the 2023 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

Step by step

  1. Set up the solution: track how each transformation moves key points, asymptotes and intercepts of the base graph..
  2. Match the result to the choices and state the correct option.Therefore option A is correct.

Common mistake: changing so many features that the new example no longer tests the same mathematical idea.

Verification: Graph touches the -axis at .

Any mark labels are a TestMum study aid, not an official NESA marking allocation.

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