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Introduction to quadratic functions

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  1. Identifying Characteristics of Quadratic Functions in General Form: y=ax2+bx+cy = ax^2 +bx + c

    y=2x2−12x+10y = 2{x^2} - 12x + 10 is a quadratic function in general form.

    i) Determine:
    • y-intercept
    • x-intercepts
    • vertex

    ii) Sketch the graph

    1. Identifying Characteristics of Quadratic Functions in Vertex Form: y=a(x−p)2+qy = a(x-p)^2 + q

      y=2(x−3)2−8y = 2{\left( {x - 3} \right)^2} - 8 is a quadratic function in vertex form.

      i) Determine:
      • y-intercept
      • x-intercepts
      • vertex

      ii) Sketch the graph
      Topic Notes
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