Graphing quadratic inequalities in two variables

Lesson: 1
16:55
Lesson: 2
8:44

Learn

Graphing quadratic inequalities in two variables

Grab a pen and grid paper for this lesson. We will learn the tricks on graphing quadratic inequalities in two variables.

Basic Concepts: Quadratic function in general form:

y = ax^2 + bx+c

, Quadratic function in vertex form: y =

a(x-p)^2 + q

, Graphing parabolas for given quadratic functions, Solving quadratic inequalities

Lessons

1.
Graphing Quadratic Inequalities of Parabolas Opening Up
Graph:
i) $y = \frac{1}{3}{x^2} - \frac{2}{3}x - \frac{8}{3}$
ii) $y \ge \frac{1}{3}{x^2} - \frac{2}{3}x - \frac{8}{3}$
iii) $y$ < $\frac{1}{3}{x^2} - \frac{2}{3}x - \frac{8}{3}$

2.
Graphing Quadratic Inequalities of Parabolas Opening Down
Graph:
i) $y = - {x^2} - 4x$
ii) $y$ > $- {x^2} - 4x$
iii) $y \le - {x^2} - 4x$

No Javascript

It looks like you have javascript disabled.

You can still navigate around the site and check out our free content, but some functionality, such as sign up, will not work.

If you do have javascript enabled there may have been a loading error; try refreshing your browser.