Students learn to graph the equation of a quadratic function using the coordinates of the vertex of a parabola and its x-intercepts. After completing this activity, students will be able to graph a parabola using a vertex and x-intercepts, identify the vertex of a parabola from a quadratic function in standard form and identify the x-intercepts of a quadratic function in standard form. Graphing Quadratic Equations is the first of four activities for teaching and learning quadratic equations in algebra: ** Graphing Quadratic Equations**;

*Quadratic Word Problems Part 1*;

*Quadratic Word Problems Part 2*; and

*Quadratic Functions in Vertex Form*.

» Lesson Plan and Student Assessment documents are also available.

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**Subject**

Mathematics

**Focus Area**

Modeling and Simulation

**Grade Level**

Middle School, High School

**License**

CC BY 4.0

### COMMON CORE STATE STANDARDS FOR MATHEMATICS (2010)

CCSS.Math.Content.HSF-IF.B.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. *Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.**

CCSS.Math.Content.HSF-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*

- CCSS.Math.Content.HSF-IF.C.7a Graph linear and quadratic functions and show intercepts, maxima, and minima

CCSS.Math.Content.HSF-IF.C.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

- CCSS.Math.Content.HSF-IF.C.8a Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

**Copyright**

© Copyright The Concord Consortium

**Record Link**

<a href="">The Concord Consortium. *Graphing Quadratic Equations*. Concord: The Concord Consortium, 2014, February 27.</a>

**AIP**

*Graphing Quadratic Equations* (The Concord Consortium, Concord, 2014, February 27), WWW Document, (https://concord.org/).

**AJP**

*Graphing Quadratic Equations* (The Concord Consortium, Concord, 2014, February 27), WWW Document, (https://concord.org/).

**APA**

*Graphing Quadratic Equations*. (2014, February 27). Retrieved 2017, February 28, from The Concord Consortium: https://concord.org/

**Disclaimer:** The Concord Consortium offers citation styles as a guide only.
We cannot offer interpretations about citations as this is an automated procedure.

### Requirements

This activity runs entirely in a Web browser. Preferred browsers are: Google Chrome (versions 30 and above), Safari (versions 7 and above), Firefox (version 30 and above), Internet Explorer (version 10 or higher), and Microsoft's Edge.