Sketching parabolas using factorisation
Parabolas and other graphs
Essential Mathematics Year 10
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Videos in this series
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Lesson notes

Chapters

  Introduction
  The learning for the lesson
  Recap
  Footie or soccer?
  Letters are really just in the dinner queue for numbers
  Example 1
  BIDMAS or BODMAS?
  Examples of how to use BIDMAS
  Formula, Substitute and Solve (FSSSSSSS)
  Example 2
  Example 3
  A slightly harder example
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Description

We have spent a lot of time looking at how to use algebra to factorise and solve quadratics. We have completed the square, we have used the quadratic equation and we have used the T-Method. This has led to this series of videos where we now use all the information gained to sketch the graphs. We need to make sure that, for all quadratics, we have access to tools to find the x-intercepts, y-intercepts and the turning point. Once we have these four pieces of information we can confidently sketch any quadratic equation. In this video we recap how to use the T-Method to factorise. There are a number of examples in how to solve the quadratic and find the important points. The video is a little long, but it covers all the things you need to know.
Video tags

quadratic equation algebra 2 sketching quadratics factorising quadratics by grouping factorising quadratics factorising maths factorising algebraic expressions factorising quadratic expressions Finding intecepts solving equations finding intercepts from an equation finding intercepts and testing for symmetry finding intercepts of a quadratic function