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Quadratic Explorer: Discover Parabolas
Created by at2026
Updated September 10th, 2026
About this activity
An interactive sandbox where Grade 11 students manipulate a, p, and q parameters in vertex form f(x) = a(x−p)² + q to discover how quadratic functions transform.
What students learn
- Understand the role of a, p, and q in f(x) = a(x−p)² + q
- Identify the vertex directly from the equation as (p, q)
- Describe vertical stretch/compression and reflection via parameter a
- Describe horizontal and vertical translations via parameters p and q
- Connect vertex form to graphical features and transformations
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