Show algebraically that the graph of an equation of the form:

Ax2 + Dx + Ey + F = 0, A http://www.alpertron.com.ar/NOTEQUAL.GIF0

a) Is a parabola if E http://www.alpertron.com.ar/NOTEQUAL.GIF0.

b) Is a vertical line if E = 0 and D2 - 4AF = 0.

c) Is two vertical lines if E = 0 and D2 - 4AF > 0.

d) Contains no points if E = 0 and D2 - 4AF < 0.