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Linear and Non Linear Relationships · Term 2

Transformations of Parabolas

Investigating the effects of translations, reflections, and dilations on the graph of y = x^2.

Key Questions

  1. Predict how adding a constant to x^2 or to x inside the square affects the parabola's position.
  2. Compare the effect of a negative coefficient on x^2 versus a negative constant term.
  3. Design a series of transformations to move a basic parabola to a specific location and orientation.

ACARA Content Descriptions

AC9M10A06
Year: Year 10
Subject: Mathematics
Unit: Linear and Non Linear Relationships
Period: Term 2

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