Quadratic function in vertex form: y=a(x−p)2+qy = a(x-p)^2 + q

Quadratic function in vertex form: y=a(x−p)2+qy = a(x-p)^2 + q

Besides the general form, the vertex form is also another way to express a quadratic function. In this lesson, we will talk about how to find the x-intercepts, y-intercepts, vertex of quadratic functions in vertex 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: Solving quadratic equations by completing the square, Radian measure and arc length, System of linear-quadratic equations, System of quadratic-quadratic equations,

Lessons

  • 1.
    y=2(x−3)2−8y = 2{\left( {x - 3} \right)^2} - 8 is a quadratic function in vertex form.
    a)
    Determine:
    • y-intercept
    • x-intercepts
    • vertex

    b)
    Sketch the graph.

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5.
Quadratic Functions
5.1
Introduction to quadratic functions
5.2
Transformations of quadratic functions
5.3
Quadratic function in general form: y=ax2+bx+cy = ax^2 + bx+c
5.4
Quadratic function in vertex form: y = a(x−p)2+qa(x-p)^2 + q
5.5
Completing the square
5.6
Converting from general to vertex form by completing the square
5.7
Shortcut: Vertex formula
5.8
Graphing quadratic functions: General form VS. Vertex form
5.9
Finding the quadratic functions for given parabolas
5.10
Applications of quadratic functions
AU Maths Methods
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