Syllabus point — Maths Interactives

Recognise features of the graphs of 𝑦 = 1 𝑥 and 𝑦 = 𝑎 (𝑥−ℎ)+ 𝑘, including their hyperbolic shape, intercepts, asymptotes, and behaviour as 𝑥 → ∞ and 𝑥 → − ∞.

mm-u1-t3-s3-d1

Interactive

Rectangular hyperbola y = a/(x−h) + k

manipulative

Scrub a, h and k to see y = a/(x−h)+k as a rectangular hyperbola whose vertical and horizontal asymptotes move with the shifts.

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