Interactive applet

Quadratic Forms and Graphs

Toggle among standard, vertex, and factored form. Track vertex, roots, and axis of symmetry.

Algebra I Regents

Hands-on lab

-8-8-7-7-6-6-5-5-4-4-3-3-2-2-1-11122334455667788vertex

Bend the parabola

Features

Vertex (1, -2). Axis x = 1. Opens up (minimum).

Missions

  • Put the vertex at (2, −3)
  • Open the parabola downward

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Guided questions

In vertex form, change h. What moves?

Reflection

Which form would you choose to find the maximum height of a thrown ball, and why?

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