Completing The Square - Plotting Quadratics | Algebra | Maths | FuseSchool

Click here to see more videos: https://alugha.com/FuseSchool Completing the square is another way of solving quadratics (as well as by factorising and by using the quadratic formula). Completing the square will always work, whatever the quadratic (whereas factorising does not always work). Completing the square also helps us when sketching the graph, as it provides us with the coordinates of the turning point (minimum or maximum). In this video we look at how to plot the quadratic using completing the square. Completing the square quickly gives us the coordinates of the turning point, and if we solve it we get the coordinates of the points that the quadratic crosses the x-axis. The quadratic equation already gives us the y-intercept. So we have 4 points from which we can sketch the quadratic from. (x - a)2 + b = 0, where (a, b) are the coordinates of the minimum/maximum point. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT. VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Twitter: https://twitter.com/fuseSchool This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.org/licenses/by-nc/4.0/ ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org

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Equation Of Parallel Lines | Graphs | Maths | FuseSchool

In this video, we are going to look at parallel lines. To find the equation of parallel lines, we still use the y=mx + c equation, and because they have the same gradient, we know straight away that the gradient ‘m’ will be the same. We then just need to find the missing y-intercept ‘c’ value. VISI