Year 10 Interactive Maths - Second Edition

Sketching Quadratic Inequalities

The parabola divides the Cartesian plane into two regions. One region is above the parabola and the other is below the parabola.

Example 22

Solution:

x-intercepts:

y-intercept:

Test point:

Note:

The required region consists of the unshaded region and the parabola.

Example 23

Solution:

x-intercepts:

y-intercept:

Test point:

Note:

The required region consists of the unshaded region and the parabola.

Key Terms

lower region, upper region, test point, required region

Study Another Topic in Chapter 13: Quadratic Graphs

[ Quadratic Functions ] [ Graphs of y = ax² + c, a > 0 ] [ Graphs of y = a(x - b)², a > 0 ] [ Graphs of y = a(x - b)² + c, a > 0 ] [ Quadratic Graphs by Transformations ] [ Translation ] [ Sketching Parabolic Graphs ] [ Problem Solving I ] [ Quadratic Inequalities ] [ Simultaneous Equations - Linear/Quadratic ] [ Problem Solving II ] [ Sketching Quadratic Inequalities ] [ Intersection of Half-Planes ] [ Problem Solving Unit ] [ Projects ] [ Symbols ] [ Index ]