Introduction to quadratic functions - Quadratic Functions

Introduction to quadratic functions

Three properties that are universal to all quadratic functions: 1) The graph of a quadratic function is always a parabola that either opens upward or downward (end behavior); 2) The domain of a quadratic function is all real numbers; and 3) The vertex is the lowest point when the parabola opens upwards; while the vertex is the highest point when the parabola opens downward.

Lessons

  • 1.
    Determining the Characteristics of a Quadratic Function Using Various Methods

    Determine the following characteristics of the quadratic function y=2x2+4x+6y = -2x^2 + 4x + 6 :

    • Opening of the graph

    yy-intercept

    xx-intercept(s)

    • Vertex

    • Axis of symmetry

    • Domain

    • Range

    • Minimum/Maximum value

  • 2.
    From the graph of the parabola, determine the:
    • vertex
    • axis of symmetry
    • y-intercept
    • x-intercepts
    • domain
    • range
    • minimum/maximum value
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Introduction to quadratic functions

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