Apply translations, reflections and stretches to parabolas

Reason For Learning

Learn how Turning Point Form and Functional Notation can affect the shape of the Parabola. Use computer graphics to find out how translations, reflections, and stretches can be applied.

Learning Intention

Understand how the parameters involved in the Turning-Point form of a quadratic equation can influence the shape and position of the parabola, when drawn on a graph. Realise that the sign of the pronumeral, and the function itself, can result in reflection of the parabola in the axes.

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ACMNA239 Level 10

Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate