Investigating the Quadratic Function.

... Investigating the Quadratic Function Type 1 Dan Plant Mr. Maly 11 IB Mathematics Thursday, May 10, 2007 Investigating the Quadratic Function Type 1 1. Based on three resulting graphs, it can be determined that they are in fact all the same shape, of a parabola, however have varied locations. Furthermore, the locations of the graphs are specifically translated positively or negatively vertical according to the constant added or subtracted to the variable (x2). These three graphs may be generalized by the following statement; adding a positive or negative constant h will shift the graph vertically h units in the function y = (x2)+h. (Refer to attached graphs) 2. Based on the three resulting graphs, it can be determined that they are in fact all the same shape, of a parabola, however they have varied locations. Furthermore, the locations of the graphs are specifically translated positively or negatively horizontal according to the constant added or subtracted directly to the

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