It's the second choice. The rule for the discriminant as it applies to the nature and number of solutions is as follows: If the discriminant is equal to zero, you have 1 real solution, multiplicity 2; if the discriminant is greater than zero, you have 2 real solutions; if the discriminant is less than zero, you have imaginary solutions (cuz you can't take the square root of a negative number without involving the "i"). Our graph shows that there are 2 solutions, or 2 places on the x-axis where the curve goes through. If there was only 1 solution with multiplicity 2, the curve's vertex would touch the x-axis at that point only. If there are no real solutions, then the graph would either be a negative x-squared curve below the x-axis so there is no place where the graph goes through the x-axis, or a positive x-squared curve above the x-axis. This one also would never go through the x-axis. The places on the x-axis where the graph goes through are called solutions or roots. Real number solutions are on the x-axis, imaginary ones are not.
