# 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

- ATI TEAS 7 Math Worksheets: FREE & Printable
- 5th Grade NYSE Math FREE Sample Practice Questions
- Full-Length 6th Grade STAAR Math Practice Test
- 4th Grade STAAR Math FREE Sample Practice Questions
- FREE ASTB Math Practice Test
- ACT Math Practice Test Questions
- How to Mastering Rational Expressions: A Comprehensive Guide to Multiplication and Division Techniques
- Full-Length ISEE Upper-Level Math Practice Test-Answers and Explanations
- How to Solve Word Problems of Absolute Value and Integers?
- Top 10 Free Websites for ALEKS Math Preparation

## What people say about "How to Graph Quadratic Functions? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.