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
- Word Problems of Comparing and Ordering Rational Numbers
- Grade 10 Math Worksheets: FREE & Printable
- What Kind of Math Is on the CBEST Test?
- Full-Length ISEE Middle Level Math Practice Test-Answers and Explanations
- 7th Grade OAA Math Worksheets: FREE & Printable
- Top 10 Tips You MUST Know to Retake the CHSPE Math
- How to Understand the Nuance of Equality of Vectors in Two Dimensions
- 5th Grade PACE Math Worksheets: FREE & Printable
- Decimal Detective: How to Find Numbers with a Specific Sum or Difference
- Block by Block: How to Complete Decimal Division Equations
What people say about "How to Graph Quadratic Functions? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.