The Family of Quadratics: Vertex Form, and Transformations

Topics in The Family of Quadratics: Vertex Form, and Transformations

Numbered in the order to learn them.

  1. Positive Square Roots and Simplest Quadratic: x^2-c, for c≥0

  2. Scaling Quadratic by Nonzero Leading Coefficient

  3. Translation from x^2-c to (x-a)^2-c, for c≥0 Nonnegative

  4. Recognizing Perfect Square Trinomials

  5. Vertex Form, or Completing the Square, for Monic Quadratics

  6. Vertex Form, or Completing the Square, for Any Quadratic

  7. Describing Geometric Transformations Relating Two Quadratics

Type a concept, like “slope” or “photosynthesis”.

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