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

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Presentation transcript:

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

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

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

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

Now you try the following: Name the vertex, vertical stretch and then graph 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

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

x y x-4 -2y+3 y = x 2 Using the Mapping Rule to change the Table of Values Graphing Mapping Rule: