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Quadratic Function Basics

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Quadratic functions, standard form, and basic graph features.

3.1 Quadratic function

A quadratic function is:

TEXT
f(x) = ax^2 + bx + c,  a ≠ 0

3.2 Key graph ideas

  • Parabola opens up if a > 0, down if a < 0
  • y-intercept is c

3.3 Vertex (preview)

We’ll later compute the vertex accurately, but conceptually it’s the turning point of the parabola.