- Home
- ACCUPLACER Test Prep
- Quadratic Functions
Graphing quadratic functions: General form VS. Vertex form
- Lesson: 112:53
- Lesson: 211:39
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=ax2+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
Related Concepts: Applications of quadratic equations, Solving quadratic inequalities, Graphing quadratic inequalities in two variables, Conics - Parabola
Lessons
- 1.Graphing Quadratic Functions in General Form
y=2x2−12x+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(x−3)2−8 is a quadratic function in vertex form.a)Determine:
• y-intercept
• x-intercepts
• vertex
b)Sketch the graph.
Do better in math today
34.
Quadratic Functions
34.1
Introduction to quadratic functions
34.2
Transformations of quadratic functions
34.3
Quadratic function in general form: y=ax2+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