Introduction to quadratic functions

Introduction to quadratic functions

Lessons

  • 1.

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

    y=2x212x+10y = 2{x^2} - 12x + 10 is a quadratic function in general form.

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

    ii) Sketch the graph

  • 2.

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

    y=2(x3)28y = 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