Infinities 2 sequences and series

Structures 3Sat, 27 November 2010

114:00 - 15:30 Investigating quadratic graphs

2Quadratic graphs: Using a table of valuesPlot the graph of y = x2 3 for values of x between 3 and 3.We can use a table of values to generate coordinates that lie on the graph as follows:xy = x2 3 32101236(3, 6)123216(2, 1)(1, 2)(0, 3)(1, 2)(2, 1)(3, 6)3Talk through the substitution for each value of x to give the corresponding value of y.Using a table of valuesxy = x2 3 32101236123216The points given in the table are plotted

x02131231212345yy and the points are then joined together with a smooth curve.The shape of this graph is called a parabola.It is characteristic of a quadratic function.4Activity 1Poster Presentation (groups of 4)Download the Exploring quadratic graphs file from the BB

Investigate properties of the quadratic graphs (e.g. shape, symmetry, turning points, intercepts, etc)2.Explore the effect of changing: the coefficient of x2the free coefficientThe coefficient of x

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