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Linear and Non Linear Relationships · Term 2

Exploring Quadratic Graphs from Tables

Students will generate tables of values for simple quadratic functions (e.g., y=x^2, y=-x^2) and plot points to observe the parabolic shape, without formal graphing of y=ax^2.

Key Questions

  1. How does the pattern of y-values in a quadratic table differ from a linear table?
  2. What is the effect of a negative coefficient on the x^2 term when plotting points?
  3. Predict the general shape of a quadratic graph based on its table of values.

ACARA Content Descriptions

AC9M9A06
Year: Year 9
Subject: Mathematics
Unit: Linear and Non Linear Relationships
Period: Term 2

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