the discriminant (/\ - err.. this is meant to be at riangle), as we know is taken from the quadratic formula (its the bit under the root sign)
/\ = b^2 - 4ac
if /\ < 0
there will be no solution for ax^2 + bx + c = 0 so that means there will be no x-intercepts
if /\ = 0
there will only be one solution, and the graph will touch the x-axis once (at its vertex)
if /\ > 0
the graph would go through x-axis, intercepting at two points
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