Quadratics in vertex form presentation(prepared by team ii after mt)

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Quadratics in vertex form presentation(prepared by team ii after mt)

  1. 1. School level : SHS 2 Curriculum area: Elective Mathematics Class time : 80min (two periods) PRESENTATION BY TEAM II
  2. 2. Objectives of this lesson <ul><li>Determine how changes in the parameters of a quadratic equation in the vertex form affects its graph. </li></ul><ul><li>Determine how to use the vertex form of a quadratic equation to find the coordinates of the vertex on a graph. </li></ul>PRESENTATION BY TEAM II
  3. 3. Objectives of this lesson (continuation) <ul><li>Determine the y-intercept of a parabola. </li></ul><ul><li>Determine the minimum and maximum values of a parabola. </li></ul>PRESENTATION BY TEAM II
  4. 4. Introduction <ul><li>Study the equations in the following table carefully and tick (√) the appropriate space relating to the properties of the equations. </li></ul>PRESENTATION BY TEAM II
  5. 5. PRESENTATION BY TEAM II
  6. 6. Graph of y = x 2 <ul><li>This is a quadratic equation of the form </li></ul><ul><li>y = a(x – p) 2 + q , where: </li></ul><ul><li>a = 1, p = 0, q = 0. </li></ul><ul><li>Lets take a look at this graph QUADRATICS IN VERTEX FORM-GRAPH(PREPARED BY TEAM II BEFORE MT).xls </li></ul>PRESENTATION BY TEAM II
  7. 7. Conclusion <ul><li>y = a(x – p) 2 + q is a quadratic function in the vertex form which is similar to the quadratic function y = ax 2 +bx +k in the polynomial form. </li></ul><ul><li>The parabola opens vertically upwards when a > 0 and opens vertically downwards when a < 0 . </li></ul><ul><li>The parabola has a minimum value, q , when a > 0 and a maximum value when a < 0. </li></ul>PRESENTATION BY TEAM II
  8. 8. Conclusion (continuation) <ul><li>Increasing the value of p moves the vertex of the parabola to the right horizontally while it moves to the left horizontally when p is decreasing. </li></ul><ul><li>Varying the value of q moves the graph vertically upwards (when q is increasing) or vertically downwards (when q is decreasing). </li></ul><ul><li>The vertex of the parabola is given by ( p, q ). </li></ul>PRESENTATION BY TEAM II

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