Graphing quadratic functions: General form VS. Vertex form

Lesson: 1
12:53
Lesson: 2
11:39

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Graphing quadratic functions: General form VS. Vertex form

In this lesson, Dennis will show us how to look for the y-intercept, x-intercept and vertex of a parabola from its general form and then sketch the parabola.

Basic Concepts:Quadratic function in general form:

y = ax^2 + bx+c

, Quadratic function in vertex form: y =

a(x-p)^2 + q

, Converting from general to vertex form by completing the square, Shortcut: Vertex formula,

Lessons

1.
Graphing Quadratic Functions in General Form
$y = 2{x^2} - 12x + 10$ is a quadratic function in general form.
a)
Determine:
• y-intercept
• x-intercepts
• vertex

b)
Sketch the graph.

2.
Graphing Quadratic Functions in Vertex Form
$y = 2{\left( {x - 3} \right)^2} - 8$ is a quadratic function in vertex form.
a)
Determine:
• y-intercept
• x-intercepts
• vertex

b)
Sketch the graph.

Graphing quadratic functions: General form VS. Vertex form

Graphing quadratic functions: General form VS. Vertex form

Lessons

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