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Structures 3 Sat, 27 November 2010

Structures 3 Sat, 27 November 2010. 14:00 - 15:30 Investigating quadratic graphs. Quadratic graphs: Using a table of values. x. –3. –2. –1. 0. 1. 2. 3. y = x 2 – 3. Plot the graph of. y = x 2 – 3. for values of x between –3 and 3.

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Structures 3 Sat, 27 November 2010

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  1. Structures 3Sat, 27 November 2010

  2. 14:00 - 15:30 Investigating quadratic graphs

  3. Quadratic graphs: Using a table of values x –3 –2 –1 0 1 2 3 y = x2 – 3 Plot 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: 6 1 –2 –3 –2 1 6 (–3, 6) (–2, 1) (–1, –2) (0, –3) (1, –2) (2, 1) (3, 6)

  4. Using a table of values x –3 –2 –1 0 1 2 3 y = x2 – 3 6 1 –2 –3 –2 1 6 y y 5 4 3 2 1 x –3 –2 –1 0 1 2 3 –1 –2 The points given in the table are plotted … … 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.

  5. Activity 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 x2 • the free coefficient • The coefficient of x

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