Students learn to graph a quadratic equation using the coordinates of the vertex of a parabola and its x-intercepts.

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### Requirements

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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### 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.

<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, January 20, 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.

### Related Resources

This resource is a part of the Concord Consortium's SmartGraphs project.

Middle School, High School
Subject
Mathematics
Focus Area
Modeling and Simulation
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