Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Systems of Inequalities
Hotmath provides 21 practice problems dealing with systems of equations and inequalities. Each of the practice problems include a step-by-step guide for solving their algebraic problem.
National Council of Teachers of Mathematics
The Math Forum: Parabolas
A brief overview on calculating various measures of segments, like focus to vertex and vertex to directix, is given. Additionally, equations of parabolas in general, standard, and vertex forms are listed.
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.
University of St. Andrews (UK)
University of St. Andrews: Parabola
This is a brief lesson on the parabola. The lesson also has links to related topics.
Johan Claeys
Math Abundance: The Parabola
Defines parabolas, their properties, gives parametric equations, tangent line in a point D of a parabola, etc.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rotating Parabolas
Dr. Math, in a reply to a student question, shows how to derive the equation of a parabola for situations when the line of symmetry is not || to one of the axes.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Equation for an Arch
A student with a summertime carpenter job asks Dr. Math how to draw an arch. Dr. Math responds by showing how the equation of the parabola can be generated by having three distinct points of the parabola known.
Other
Nearpod: Quadratic Equations: Intro & Factoring
In this lesson, students will learn the main parts of a parabola and solve quadratic equations by factoring.
Texas Instruments
Texas Instruments: Transforming Parabolas
1. Students will be able to review how to find the vertex of a parabola using a graphing calculator. 2. Students will be able to observe the relationship between the values of a, h and k and the graph of a parabola in vertex form. 3....
Alabama Learning Exchange
Alex: Conic Sections: Playing With Parabolas
Through a mixture of online exploration, and teacher instruction, learners will discover how parabolas are formed and will be able to use the key components from a graph (vertex, focus and directrix,) to generate the equation of a graph.
Math Planet
Math Planet: The Graph of Y = Ax^2 + Bx + C
A nonlinear function that can be written on the standard form ax^2 + bx + c,where a is not = 0, is called a quadratic function. All quadratic functions hava a U-shaped graph called a parabola.
Texas Instruments
Texas Instruments: Exploring Standard Form of a Quadratic Function
Students explore y=ax^2+bx+c using the transform graphing application. Teacher calculator is used with Navigator to send device settings, the equation format and initial coefficient values to all students. Worksheet includes all student...
Windstream
Ojk's Precalculus Study Page: Parabolas
Good study tutorial about parabolas. There are examples of finding the equation of the parabola or the focal point and directrix that students can examine and attempt.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Parabola Given Three Points
This site gives a student a hint of how to determine the equation of a parabola when given three points on the parabola. The Dr. only hints at the solution, encouraging thinking on behalf of the student.
Texas Instruments
Texas Instruments: Exploring the Parabola and Its Equation Part 1 and @
Starting with y=x^2 going all the way to (in part 2)y=ax^2+bx+c, how do changes in the quadratic equation/function change the appearance of the parabola.
Texas Instruments
Texas Instruments: Quadratic Equations With the Cbl 2
Students will generate parabolas using the motion sensor. They will then determine the vertex form of the equation and compare it to the regression equation from the calculator.
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...
Texas Instruments
Texas Instruments: Numb3 Rs: Fresh Air and Parabolas
Based off of the hit television show NUMB3RS, this lesson examines a plane crash, and gets students to try to find the location of various pieces of wreckage. This is done using parametric equations which form a parabolic trajectory....
Khan Academy
Khan Academy: Features of Quadratic Functions
Find the zeroes ('roots') of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.
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.
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.
Cool Math
Coolmath: Graphing Parabolas Part 4
Find out how the equations shift the shape of the parabola.
Texas Instruments
Texas Instruments: Cutting Corners
Students' will continue to develop the idea of quadratic equations and parabolas.
CK-12 Foundation
Ck 12: Algebra: Graphs of Quadratic Functions in Intercept Form
[Free Registration/Login may be required to access all resource tools.] Understanding the graphs of a parabola given equations. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.