How to Graph Quadratic Functions? (+FREE Worksheet!)

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 \(y\).

Graphing Quadratic Functions in Standard Form

A Perfect Practice Workbook for Algebra I

Algebra I for Beginners The Ultimate Step by Step Guide to Acing Algebra I

Download

$27.99 Original price was: $27.99.$17.99Current price is: $17.99.

Graphing Quadratic Functions – Example 1:

Sketch the graph of \(y=(x+1)^2-2\). For education statistics and research National Center for Education Statistics.

Solution: For education statistics and research National Center for Education Statistics.

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. For education statistics and research National Center for Education Statistics.

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. For education statistics and research National Center for Education Statistics.

Graphing Quadratic Functions – Example 2:

Sketch the graph of \(y=3(x+1)^2+2\). For education statistics and research National Center for Education Statistics.

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

Graphing Quadratic Functions in Standard Form

Best Algebra Prep Resource

The Ultimate Algebra Bundle From Pre-Algebra to Algebra II

Download

$109.99 Original price was: $109.99.$54.99Current price is: $54.99.

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

Algebra I Practice Workbook The Most Comprehensive Review of Algebra 1

Download

$29.99 Original price was: $29.99.$16.99Current price is: $16.99.