Quadratics Also see the Medium size clip art Return to the previous page of Math Clip Art or go on... Quadratics Also see the Medium size clip art Return to the previous page of Math Clip Art or go on... Quadratics advertisement Definition of Quadratics: An equation where the highest exponent of the... Quadratics advertisement Definition of Quadratics: An equation where the highest exponent of the... Again notice how the graph is symmetrical ! Working backwards Example Find the equation of the... Again, notice how the graph is symmetrical ! Working backwards Example Find the equation of the... Day 1 Objectives: Student will be able to graph a quadratic function of the form y = ax^2. Procedure... Day 1 Objectives: Student will be able to graph a quadratic function of the form y = ax^2. Procedure... Day 2 Parameter Investigation of the effect of ' k' on the equation y = x^2 + k . Objectives: The... Day 2 Parameter Investigation of the effect of ' k' on the equation y = x^2 + k . Objectives: The... Download These Data Sets on Excel This is a part of Sarah Enoch's Math Page Thank you for visiting! Download These Data Sets on Excel This is a part of Sarah Enoch's Math Page Thank you for visiting! From the graph the equation y = x 2 + 2x –3 has roots x = -3 and x = 1 This is the same as... From the graph, the equation y = x 2 + 2x –3 has roots x = -3 and x = 1 This is the same as... Quadratic equations Standard form Quadratic equations are of the form Quadratic equations Standard form Quadratic equations are of the form Working Backwards Quadratics Working Backwards Quadratics Example Sketch y = 3-2x-x 2 Example Sketch y = 3-2x-x 2 This is the graph of y = x 2 In this parabola y-axis is the axis of symmetry and O is the turning... This is the graph of y = x 2 In this parabola y-axis is the axis of symmetry, and O is the turning... Working Backwards Quadratics Working Backwards Quadratics Working Backwards Quadratics Working Backwards Quadratics b 2 – 4ac = 6 2 - 4x1x9 = 36 – 36 = 0 b 2 – 4ac = 0 Roots are equal and real... b 2 – 4ac = 6 2 - 4x1x9 = 36 – 36 = 0 b 2 – 4ac = 0 Roots are equal and real... The graph is of the form y = a(x-b) 2 The given co-ordinate is ( 2 3 ) So x = 2 and y = 3 are on... The graph is of the form y = a(x-b) 2 The given co-ordinate is ( 2, 3 ) So x = 2 and y = 3 are on... The quadratic function g(x) = x^2 whose graph is shown on page 55 of your text has axis of symmetry... The quadratic function g(x) = x^2 whose graph is shown on page 55 of your text has axis of symmetry... This timethe graph is symmetrical when x=2 The turning point is (20) The axis of symmetry is the b... This time,the graph is symmetrical when x=2 The turning point is (2,0) The axis of symmetry is the b... The graph is of the form y = ax 2 The given co-ordinate is ( 2 1 ) So x = 2 and y = 1 are on the... The graph is of the form y = ax 2 The given co-ordinate is ( 2, 1 ) So x = 2 and y = 1 are on the... Not all Quadratics factorise Discriminant Not all Quadratics factorise Discriminant Exploration Graph the 3 equations with Graphing Calculator as 3D. The image shows three intersecting... Exploration Graph the 3 equations with Graphing Calculator as 3D. The image shows three intersecting... Turning Points Positive parabolas have a minimum turning point. Example Find the turning point of... Turning Points Positive parabolas have a minimum turning point. Example Find the turning point of... Notice how the graph is symmetrical ! Example Complete the table of values for the equation ... Notice how the graph is symmetrical ! Example Complete the table of values for the equation ... Notice that the axis of symmetry is x = - 3 Working Backwards Example Find the equation of the... Notice that the axis of symmetry is x = - 3 Working Backwards Example Find the equation of the... r + s r + s Example Find the roots of 2 + 4x -5x 2 Give your answer correct to two decimal places. Example Find the roots of 2 + 4x -5x 2 Give your answer correct to two decimal places. Quadratics Polynomials Quadratics Polynomials Mathematical aide-memoire English 17th century showing solutions of quadratic equations.... Mathematical aide-memoire, English 17th century, showing solutions of quadratic equations.... a) What is the domain of g(x) ? b) What is the range of g(x) ? c) Is g(x) odd even both or... a) What is the domain of g(x) ? b) What is the range of g(x) ? c) Is g(x) odd, even, both or... The graph is of the form y = a(x-b) 2 + c The given co-ordinate is ( -3 -2 ) So x = -3 and y = -2... The graph is of the form y = a(x-b) 2 + c The given co-ordinate is ( -3, -2 ) So x = -3 and y = -2...
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