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...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 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!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 formWorking Backwards QuadraticsExample Sketch y = 3-2x-x 2This is the graph of y = x 2 In this parabola y-axis is the axis of symmetry, and O is the turning...Working Backwards QuadraticsWorking Backwards QuadraticsMathematical aide-memoire, English 17th century, showing solutions of quadratic equations....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 quadratic function g(x) = x^2 whose graph is shown on page 55 of your text has axis of symmetry...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...Not all Quadratics factorise DiscriminantExploration 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...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...r + sExample Find the roots of 2 + 4x -5x 2 Give your answer correct to two decimal places.Quadratics Polynomialsa) 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...But it is not always that easy ... Guess and Check Maybe we can guess an answer? Example: what are...