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Graphing Quadratic Functions using Transformational Form The Transformational Form of the Quadratic Equations is:

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Presentation on theme: "Graphing Quadratic Functions using Transformational Form The Transformational Form of the Quadratic Equations is:"— Presentation transcript:

1 Graphing Quadratic Functions using Transformational Form The Transformational Form of the Quadratic Equations is:

2 Graphing Quadratic Functions using Transformational Form The Transformational Form of this Quadratic Equations is: This also provides the following information: Vertex is (-2, 3) Vertical Stretch is 4 The parabola opens upwards and the Axis of Symmetry is

3 The Transformational Form of this Quadratic Equations is: Vertex is (-2, 3) Vertical Stretch is 4 a> 1, so the graph rises faster than it normally does and appears to be skinny! The parabola opens upwards and the axis of Symmetry is

4 Vertex is (-2, 3) Vertical Stretch is 4 Pattern from the vertex is now: Over 1, up 1X4 Over 2, up 4X4, etc

5 Now you try the following: Name the vertex, vertical stretch and then graph. 1. 2. 3. 4. Vertex is (1, 2) VS is 2 Vertex is (-2, 5) VS is Vertex is (5, -4) VS is -3 Vertex is (-4, -6) VS is

6 Using Mapping Rules to Graph Quadratics Vertex is Axis of Symmetry is Horizontal Translation is Vertical Translation is Vertical Stretch is TRANSFORMATIONAL FORM MAPPING RULE

7 x y x-4 -2y+3 y = x 2 Using the Mapping Rule to change the Table of Values Graphing Mapping Rule: -2 0 1 2 4 1 0 1 4 -6 -5 -4 -3 -2 15 13 11 9 7


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