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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.

5.

Quadratic Functions

5.1

Characteristics of quadratic functions

5.2

Transformations of quadratic functions

5.3

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

5.4

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

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 parabolas for given quadratic functions

5.9

Finding the quadratic functions for given parabolas

5.10

Applications of quadratic functions

We have over 1040 practice questions in AU Year 12 Maths for you to master.

Get Started Now5.1

Characteristics of quadratic functions

5.3

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

5.4

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

5.6

Converting from general to vertex form by completing the square

5.7

Shortcut: Vertex formula

5.9

Finding the quadratic functions for given parabolas