Quadratic function in general form: y=ax2+bx+cy = ax^2 + bx+c

Quadratic function in general form: y=ax2+bx+cy = ax^2 + bx+c

Quadratic functions can be written in three different forms: general form/standard form, vertex form and factored form. The graph of a quadratic function is always a parabola. In this lesson, we will learn how to draw the graph and to find the x-intercepts, y-intercepts, vertex of quadratic functions in general form.

Lessons

  • 1.
    y=2x212x+10y = 2{x^2} - 12x + 10 is a quadratic function in general form.
    a)
    Determine:
    • y-intercept
    • x-intercepts
    • vertex

    b)
    Sketch the graph.