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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.

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

We have over 1380 practice questions in NZ Year 11 Maths for you to master.

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