- Home
- Precalculus
- 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
18.
Quadratic functions
18.1
Characteristics of quadratic functions
18.2
Graphing parabolas for given quadratic functions
18.3
Finding the quadratic functions for given parabolas
18.4
Solving quadratic equations by factoring
18.5
Solving quadratic equations by completing the square
18.6
Using quadratic formula to solve quadratic equations
18.7
Nature of roots of quadratic equations: the discriminant