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.
Basic Concepts: Graphing linear functions using table of values, Graphing linear functions using x- and y-intercepts, Graphing linear functions using various forms, Introduction to quadratic functions
Related Concepts: Nature of roots of quadratic equations: The discriminant, Radian measure and arc length, System of linear-quadratic equations, System of quadratic-quadratic equations

Lessons

  • 1.
    y=2x2−12x+10y = 2{x^2} - 12x + 10 is a quadratic function in general form.
    a)
    Determine:
    • y-intercept
    • x-intercepts
    • vertex

    b)
    Sketch the graph.

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6.
Quadratic Functions
6.1
Introduction to quadratic functions
6.2
Transformations of quadratic functions
6.3
Quadratic function in general form: y=ax2+bx+cy = ax^2 + bx+c
6.4
Quadratic function in vertex form: y=a(x−p)2+qy = a(x-p)^2 + q
6.5
Completing the square
6.6
Converting from general to vertex form by completing the square
6.7
Shortcut: Vertex formula
6.8
Graphing quadratic functions: General form VS. Vertex form
6.9
Finding the quadratic functions for given parabolas
6.10
Applications of quadratic functions
AS-Level Maths
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