# Quadratic Functions in Vertex Form

Learn to identify the vertex of a parabola from the vertex form of a quadratic function equation, and then graph the parabola.

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### Requirements

Given the equation of a quadratic function in vertex form, students learn to identify the vertex of a parabola from the equation, and then graph the parabola. Two different quadratic equations are provided in this activity. Quadratic Functions in Vertex Form is the last 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. Quadratic Functions in Vertex Form. Concord: The Concord Consortium, 2014, March 5.</a>

AIP
Quadratic Functions in Vertex Form (The Concord Consortium, Concord, 2014, March 5), WWW Document, (https://concord.org/).

AJP
Quadratic Functions in Vertex Form (The Concord Consortium, Concord, 2014, March 5), WWW Document, (https://concord.org/).

APA
Quadratic Functions in Vertex Form. (2014, March 5). Retrieved 2017, February 25, 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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