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Try reviewing these fundamentals first.

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Try reviewing these fundamentals first.

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Get Started Now- Lesson: 111:39

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,

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

• y-intercept

• x-intercepts

• vertex

b)Sketch the graph.

31.

Quadratic Functions

31.1

Characteristics of quadratic functions

31.2

Transformations of quadratic functions

31.3

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

31.4

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

31.5

Completing the square

31.6

Converting from general to vertex form by completing the square

31.7

Shortcut: Vertex formula

31.8

Graphing parabolas for given quadratic functions

31.9

Finding the quadratic functions for given parabolas

31.10

Applications of quadratic functions

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Get Started Now31.1

Characteristics of quadratic functions

31.3

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

31.4

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

31.6

Converting from general to vertex form by completing the square

31.7

Shortcut: Vertex formula

31.9

Finding the quadratic functions for given parabolas