Originally Posted by

**MacstersUndead** That is the correct solution for x, but the question is asking for the restriction of b (the y-intercept).

Recall the following.

D, the determinant, is the expression under the square root. ie. b^2 - 4ac

If D > 0, then there are two solutions.

If D = 0, then there is a repeated solution

If D < 0, then there are no real number solutions

Since the question asks for the restriction on b when the parabola intersects the line in more than one place, D > 0

D = 28 + 12b

D > 0 -> D/4 > 0 -> 7 + 3b > 0

Isolate b to determine the restriction on b.