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Get Started Now- Lesson: 112:53

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

- 1.$y = 2{x^2} - 12x + 10$ is a quadratic function in general form.a)Determine:

• y-intercept

• x-intercepts

• vertex

b)Sketch the graph.

14.

Quadratic Functions

14.1

Characteristics of quadratic functions

14.2

Transformations of quadratic functions

14.3

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

14.4

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

14.5

Completing the square

14.6

Converting from general to vertex form by completing the square

14.7

Shortcut: Vertex formula

14.8

Graphing parabolas for given quadratic functions

14.9

Finding the quadratic functions for given parabolas

14.10

Applications of quadratic functions

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Get Started Now14.1

Characteristics of quadratic functions

14.3

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

14.4

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

14.6

Converting from general to vertex form by completing the square

14.7

Shortcut: Vertex formula

14.9

Finding the quadratic functions for given parabolas