How to Graph Quadratic Inequalities? (+FREE Worksheet!)
Want to know how to graph Quadratic inequalities? You can do it in a few simple and easy steps.
Related Topics
- How to Graph Quadratic Functions
- How to Solve a Quadratic Equation
- How to Solve Quadratic Inequalities
Step by step guide to Graphing Quadratic inequalities
- A quadratic inequality is in the form \(y>ax^2+bx+c\) (or substitute \(<,≤,\) or \(≥ \) for \(>\)).
- To graph a quadratic inequality, start by graphing the quadratic parabola. Then fill in the region either inside or outside of it, depending on the inequality.
- Choose a testing point and check the solution section.
Graphing Quadratic inequalities – Example 1:
Sketch the graph of \(y>3x^2\).
Answer:
First, graph \(y=3x^2\)
Since the inequality sing is \(>\), we need to use dash lines.
Now, choose a testing point inside the parabola. Let’s choose \((0,2)\).
\(y>3x^2→2>3(0)^2→2>0\)
This is true. So, inside the parabola is the solution section.
The Absolute Best Books to Ace Pre-Algebra to Algebra II
Graphing Quadratic inequalities – Example 2:
Sketch the graph of \(y>2x^2\).
Answer:
First, graph \(y=2x^2\)
Since the inequality sign is \(>\), we need to use dash lines.
Now, choose a testing point inside the parabola. Let’s choose \((0,2)\). \(y>2x^2→2>2(0)^2→2>0\)
This is true. So, inside the parabola is the solution section.
The Best Book to Help You Ace Pre-Algebra
Exercises for Graphing Quadratic inequalities
Sketch the graph of each function.
- \(\color{blue}{y<-2x^2}\)
- \(\color{blue}{y≥4x^2}\)
- \(\color{blue}{y<-2x^2}\)
- \(\color{blue}{y≥4x^2}\)
The Greatest Books for Students to Ace the Algebra
Related to This Article
More math articles
- 7 Best Headphones for Online Lessons
- Understanding Secant Angles: A Guide to Their Types
- 8th Grade Common Core Math FREE Sample Practice Questions
- Count Lines of Symmetry
- How to Transform Linear Functions
- Cracking the Code: How Math is Empowering Students to Solve Real-World Problems in the Digital Age
- Top 10 AFOQT Math Practice Questions
- FREE 3rd Grade STAAR Math Practice Test
- 6th Grade ACT Aspire Math FREE Sample Practice Questions
- Top 10 HSPT Math Prep Books (Our 2023 Favorite Picks)
What people say about "How to Graph Quadratic Inequalities? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.