Question

Calculate the discriminant and use it to determine how many real-number roots the

Answer 1

The discriminant of a quadratic equation determines the nature of the roots of the equation whether they are rel or imaginary. The formula for determining the discriminant is 
d = b2 - 4acd = 36 - 4*3*3 = 0This means there is only one real number root.
Given the equation in 2, it can be projected that for every y, there are two x's (negative and positive) equivalent. The vertex  would lie below the x-axis. Answer is B