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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,

Basic 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.

34.

Quadratic Functions

34.1

Introduction to quadratic functions

34.2

Transformations of quadratic functions

34.3

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

34.4

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

34.5

Completing the square

34.6

Converting from general to vertex form by completing the square

34.7

Shortcut: Vertex formula

34.8

Graphing quadratic functions: General form VS. Vertex form

34.9

Finding the quadratic functions for given parabolas

34.10

Applications of quadratic functions

We have over 2320 practice questions in ACCUPLACER Test Prep for you to master.

Get Started Now34.1

Introduction to quadratic functions

34.3

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

34.4

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

34.6

Converting from general to vertex form by completing the square

34.7

Shortcut: Vertex formula

34.9

Finding the quadratic functions for given parabolas