ent picture of the curve, Cayleys Sextic.When a is increased in the equation for the curve, the entire curve increases in size, giving it a larger area. The value for x is greatly increased on the right side positive y-axis, while the value for x on the left side negative y-axis becomes gradually more negative at a much lower rate then that of the right side positive y-axis. The y values for the curve increase and decrease at the same rate on both sides of the x axis when the value of a changes. When the value of a becomes negative, the curve is flipped over the y-axis. When the value of a decreases to a lower negative number the area of the curve increases giving it a larger area. The value for x in greatly increased on the left side, negative y-axis, while the x on the right side positive y-axis becomes gradually more positive at a much lower rate then that of the left side negative y-axis. The y values once again increase and decrease at the same rate on both sides of the x-axis when the value of a changes....
