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.

Do better in math today
Get Started Now
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
Don't just watch, practice makes perfect.