How to Graph Quadratic Functions? (+FREE Worksheet!)
Learn how to Graph Quadratic Functions in the vertex or standard forms following a few simple steps.
Related Topics
- How to Solve Quadratic Inequalities
- How to Solve a Quadratic Equation
- How to Graph Quadratic Inequalities
Step by step guide to Graphing Quadratic Functions
- Quadratic functions in vertex form: \(y=a(x – h)^2+k\) where \((h,k)\) is the vertex of the function. The axis of symmetry is \(x=h\)
- Quadratic functions in standard form: \(y=ax^2+bx+c\) where \(x=-\frac{b}{2a}\) is the value of \(x\) in the vertex of the function.
- To graph a quadratic function, first find the vertex, then substitute some values for \(x\) and solve for \(y\).
A Perfect Practice Workbook for Algebra I
Graphing Quadratic Functions – Example 1:
Sketch the graph of \(y=(x+1)^2-2\).
Solution:
First, recall that a Quadratic function in vertex form is \(y=a(x – h)^2+k\) where \((h,k)\) is the vertex of the function.
The vertex of \(y=(x+1)^2-2\) is \((-1,-2)\). Substitute zero for \(x\) and solve for \(y\). \(y=(0+1)^2-2=-1\). The \(y\) Intercept is \((0,-1)\).
Now, you can simply graph the quadratic function.
Graphing Quadratic Functions – Example 2:
Sketch the graph of \(y=3(x+1)^2+2\).
Solution:
First, recall that a Quadratic function in vertex form is \(y=a(x – h)^2+k\) where \((h,k)\) is the vertex of the function.
The vertex of \(y=3(x+1)^2+2\) is \((-1,2)\). Substitute zero for \(x\) and solve for \(y\). \(y=3(0+1)^2+2=5\). The \(y\) Intercept is \((0,5)\).
Now, you can simply graph the quadratic function.
Exercises for Graphing Quadratic Functions
Best Algebra Prep Resource
Sketch the graph of each function. Identify the vertex and axis of symmetry.
- \(\color{blue}{y = 3(x-5)^2-2}\)
- \(\color{blue}{y=x^2-3x+15}\)
Download Graphing Quadratic Functions Worksheet
- \(\color{blue}{y = 3(x-5)^2-2}\)
- \(\color{blue}{y=x^2-3x+15}\)
The Absolute Best Books to Ace Algebra
Related to This Article
More math articles
- 7th Grade Georgia Milestones Assessment System Math FREE Sample Practice Questions
- How to Convert Between Polar and Rectangular Coordinates
- How to Determine Indeterminate Form and Vague Limits
- 4th Grade Georgia Milestones Assessment System Math Worksheets: FREE & Printable
- Top 10 Grade 3 Math Books: Inspiring Young Mathematicians to Explore
- How to Manage Your Time Effectively on the GED Math Test?
- Using Properties to Convert Traditional and Metric Units
- 5th Grade New York State Assessments Math Worksheets: FREE & Printable
- Understanding Triangles: A Comprehensive Guide to Their Classification and Properties
- OAR Math Practice Test Questions
What people say about "How to Graph Quadratic Functions? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.