Recognise and determine features of the graphs of 𝑦 = 𝑥2, 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐, 𝑦 = 𝑎(𝑥 − ℎ)2 + 𝑘 and 𝑦 = 𝑎(𝑥 − 𝑥1)(𝑥 − 𝑥2), including their parabolic nature, turning points, axes of symmetry and intercepts.

mm-u1-t1-s2-d1

Interactive

Quadratic forms and features

manipulative

One parabola, three algebraic forms — vertex, factor, and expanded — each naming the same turning point, axis, and intercepts differently.

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