Exploring Transformations of Quadratics


Lizzy Shaughnessy

Assignment 2

We will explore the parabola We will see how the graph will be affected when we substitute x-4 for x. We will also change the equation so that the vertex of the parabola is in the second quadrant and so that the vertex is the same but the parabola is concave down.

In this discussion we will focus on the following quadratic equation:


The graph of this quadratic is shown here:

(Graph 1)



(Graph 2)


(Graph 3)


(Graph 4)

The following graph is the original parabola and the three transformations. The equation for each parabola is seen to the left of the graph.


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