Question 118376
Since the parabola has complex roots, this means the parabola does <b>not</b> cross the x-axis. Also, the vertex of the parabola is (0,-6), so this means that the vertex is below the x-axis. Since the graph does not cross the x-axis, and the vertex is below the x-axis, the entire graph <b>must</b> be below the x-axis. 


So the parabola might look like this (there are many ways to draw this. The important thing to remember is the turning point or vertex is at (0,-6) and it does not cross the x-axis):


{{{graph(500,500,-15,15,-15,15,-(x-0)^2-6)}}} 



So we can see that the entire parabola is underneath the x-axis. Also we can see that the parabola is upside down.