Question

consider the graph of a quadratic function, y=ax2+bx+c if b2-4ac>0,then

Answer 1

If the discriminant is ZERO there is ONE solution; 
C) the graph must touch the x-axis one time.

Answer 2

If the discriminant is greater than zero then there are 2 solutions
If it is equal to zero then 1 solution
if it is less than zero then there are no real solutions (just 2 imaginary solutions)