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Quadratics

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GCSE Bitesize: Graphs and translations. GCSE Bitesize: Common factors. GCSE Bitesize: Factorising quadratic expressions. GCSE Bitesize: Solving quadratic equations by factorising. Quadratic Formula Song to Adele's "Rolling In The Deep" Songs for the Quadratic Formula. Quadratic Formula Pop Goes the Weasel.

Quadratic Equations - Factoring and Quadratic Formula. Using the Quadratic Formula. Quadratic Equations. By M.

Quadratic Equations

Bourne A parabolic antenna uses the quadratic function Quadratic equations are used in many areas of science and engineering. The path of a projectile (e.g. a cannon ball) is (almost) parabolic, and we use a quadratic equation to find out where the projectile is going to hit. Parabolic antennas are another application. Real mathematics is about modelling situations that occur naturally, and using the model to understand what is happening, or maybe to predict what will happen in future. Quadratic curve and graph display (standard form) See also General Function Explorer where you can graph up to three functions of your choice simultaneously using sliders for independent variables as above.

Quadratic curve and graph display (standard form)

See also Linear Explorer and Cubic Explorer. Things to try Assuming you already have a knowledge of quadratic equations, the following activities can help you get a more intuitive feel for the action of the three coefficients a, b, c . The simplest case. Y = constant. Graphing Quadratic Functions - Example 1. Graphing Quadratic Functions: Introduction. Graphing Quadratic Functions (page 1 of 4) Sections: Introduction, The meaning of the leading coefficient / The vertex, Examples The general technique for graphing quadratics is the same as for graphing linear equations.

Graphing Quadratic Functions: Introduction

However, since quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear equations, there are some additional considerations. The most basic quadratic is y = x2. When you graphed straight lines, you only needed two points to graph your line, though you generally plotted three or more points just to be on the safe side.

He got the graph wrong. That last point has a rather large y-value, so you decide that you won't bother drawing your graph large enough to plot it. Factoring Quadratics. Question 1. Practice with Quadratics. Quadratic Equations: Applications. Factorising a Quadratic Equation with Concrete Materials. Ms. Malloy Teaches Factoring a Trinomial Using Algebra Tiles. Factoring Quadratics: The Simple Case. Factoring Quadratics: The Simple Case (page 1 of 4) Sections: The simple case, The hard case, The weird case A "quadratic" is a polynomial that looks like "ax2 + bx + c", where "a", "b", and "c" are just numbers.

Factoring Quadratics: The Simple Case

For the easy case of factoring, you will find two numbers that will not only multiply to equal the constant term "c", but also add up to equal "b", the coefficient on the x-term. For instance: Factor x2 + 5x + 6. I need to find factors of 6 that add up to 5. (x )(x ) Then I'll write in the two numbers that I found above: (x + 2)(x + 3) This is the answer: x2 + 5x + 6 = (x + 2)(x + 3) This is how all of the "easy" quadratics will work: you will find factors of the constant term that add up to the middle term, and use these factors to fill in your parentheses.

Your text or teacher may refer to factoring "by grouping", which is covered in the lesson on simple factoring. Completing the Square: Finding the Vertex. {*style:<i><b>Completing the Square: Completing the Square - Solving Quadratic Equations. Completing the Square Example 2 Solve Quad. Equations. Quadratics. Example 1: Plot -2x2+x+ 3, then find the turning point and the axis of symmetry from the graph.

Quadratics

When plotting a graph, the information below could be useful. Use graph paper or grid paper for accuracy. Use X and Y as variables. Give values to X and work out the values of Y, set these values in a table. Quadratic Word Problems: Projectile Motion. Quadratic Word Problems: Projectile Motion (page 1 of 3) Sections: Projectile motion, General word problems, Max/min problems This lesson is not yet availablein Purplemath Plus.

Quadratic Word Problems: Projectile Motion

For our purposes, a "projectile" is any object that is thrown, shot, or dropped. Usually the object is moving straight up or straight down. An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. Quadratics (with Mr. Quadratic!) As of July 1, 2013 ThinkQuest has been discontinued.

Quadratics (with Mr. Quadratic!)

We would like to thank everyone for being a part of the ThinkQuest global community: Students - For your limitless creativity and innovation, which inspires us all. Teachers - For your passion in guiding students on their quest. Partners - For your unwavering support and evangelism. Parents - For supporting the use of technology not only as an instrument of learning, but as a means of creating knowledge. We encourage everyone to continue to “Think, Create and Collaborate,” unleashing the power of technology to teach, share, and inspire. Best wishes, The Oracle Education Foundation. Algebra. Exercise Dashboard.

101 uses of a quadratic equation.