Kialeuka's Assignment 2

The graph resemble a typical parabola that has a positive a, which is the coefficient of the quadratic term in standard form. Multiple transformation of the parabola took place when either the original equation increased by a given number. In addition, when the x increased or decreased by a given number, the overall form of the graph remained the same as mathematically, there isn’t a significant change taking place. Overlaying the new graph with x-4 in lieu of x simply shifted the graph four places to the left, causing components of the parabola since as the vertex, and the line of symmetry to also shift. When the original equation was negated, the parabola rotated 180 degrees, rendering the vertex up in the second quadrant as oppose to the original which was in the third quadrant.

In order to have the equation produce a parabola with a vertex tangent to the original parabola’s vertex, one must first increase the original equation by two and a third then negate the entire equation.

It is evident based on numerous attempts that the parabola can adapt any direction/transformation based on one’s desire. The transformation is relative to the direction one sets. When adding a negative constant to the variable, the parabola shifts right and shifts left when a positive constant has been added. In order to shift the parabola up or down, a constant be added or subtracted from the entire equation. In order to rotate the parabola at 180 degrees, the equation must be negated. Lastly, in order for the parabola to concave down with the two vertices being tangent to one another, the equation must first increase by two and a third then completely negated.