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

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

    2. Sketch the graph.

Introduction to quadratic functions
Notes
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.