Cool Math
Coolmath: Advanced Graphing Sideways Parabolas
This algebra lesson explains how to graph sideways parabolas.
Texas Education Agency
Texas Gateway: Analyzing the Effects of Changes in "A" on the Graph Y=ax^2 + C
Given verbal, graphical, or symbolic descriptions of the graph of y = ax^2 + c, the student will investigate, describe, and predict the effects on the graph when "a" is changed.
Purple Math
Purplemath: Graphing Quadratic Functions: Introduction
The most basic quadratic is y = x2. The general technique for graphing quadratics is the same as for graphing linear equations. The quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear...
Texas Instruments
Texas Instruments: Parabolas: Numb3 Rs: Structural Corruption
Based off of the hit television show NUMB3RS, this lesson helps students understand how changing the values of y=a(x-b)^2+c changes the graph of the associated parabola. This is framed in the context of a bridge jumper, who enters the...
Cool Math
Coolmath: Graphing by Completing the Square How
Explore and understand graphing by completing the square.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Graphing a Parabola
Dr. Math helps a student interpret the equation of a parabola so that the student understands how each part of the equation effects the graph.
Discovery Education
Discovery Education: Web Math: Graphing Parabolas
WebMath offers a java applet that allows you to input the equation of a parabola, in one of many forms, and gives you a graph of the parabola along with an explanation of how the graph was drawn.
Paul Dawkins
Paul's Online Notes: Algebra: Parabolas
Detailed math tutorial features notes and examples that investigate the process for graphing parabolas.
Texas Education Agency
Texas Gateway: Analyzing Graphs of Quadratic Functions
Given the graph of a situation represented by a quadratic function, the student will analyze the graph and draw conclusions.
Cool Math
Coolmath: Pre Calculus More on Sideways Parabolas
This CoolMath resource provides extended learning on the topic of "sideways parabolas" and how to graph them.
CK-12 Foundation
Ck 12: Algebra: Quadratic Functions and Their Graphs
[Free Registration/Login may be required to access all resource tools.] Graph and compare graphs of quadratic functions in the coordinate plane.
Purple Math
Purplemath: Conics: Parabolas: Introduction
This reference material introduces the terms and equations related to parabolas in the context of conics. Also, relates concepts to previously-learned material and shows how to 'read' from the 'conics' form of the parabola equation.
CK-12 Foundation
Ck 12: Algebra: Quadratic Functions and Their Graphs
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the x-intercepts, vertex, axis of symmetry, and y-intercept of a parabola.
Texas Instruments
Texas Instruments: Defining the Parabola
The teacher will graph a horizontal line and plot a point using TI-Navigator, and the class will provide the points that create a parabola.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Parabola Equation
Dr. Math, in a reply to a student's question, describes how to obtain the equation of a parabola.
Other
Georgia Perimeter College: Parabolas
This resource provides an examination of parabolas, both vertical and horizontal, and parabolic functions. It includes six examples and a chart showing how changes in the equation coincide with changes in the graph.
Texas Instruments
Texas Instruments: Investigating the Parabola in Vertex Form (Y = Ax2
In this activity, students investigate the standard form of the quadratic function, y = ax^2 + bx + c. They investigate the changes on the graph of a quadratic equation that result from changes in A, B, and C. They also locate the vertex...
Paul Dawkins
Paul's Online Notes: Algebra: Common Graphs
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...
Texas Instruments
Texas Instruments: Graphs of Quadratic Functions in Vertex Form
TI Explorations books has a great activity for TI InterActive! in graphing parabolas in vertex form. What if you don't have TI InterActive! or a lab to take your students, but you do have a class set of TI-83 or TI-84. This activity...
Texas Instruments
Texas Instruments: Writing Equations of Parabolas in Vertex Form
Students use their knowledge of the vertex form of a quadratic equation to graph parabolas, given a specific move to make.
University College London
University College London: The Graph of Y = Ax Squared + Bx + C
Provides a walkthrough of graphs of quadratic functions, including what factors "shift" or otherwise affect the parabola.
Khan Academy
Khan Academy: Graph Quadratics in All Forms
Graph quadratic functions given in any form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Illustrative Mathematics
Illustrative Mathematics: F if.c.7.a, a sse.b.3, F if.c.7: Graphs of Quadratic
During this task, students will realize that equivalent expressions produce the same graph. The lesson plan will lead to discussions about the value of different forms of equations. Aligns with F-IF.C.7.a, A-SSE.B.3, and F-IF.C.7.