Question 40292
Use the discriminant to determine whether the vertex of the graph of the function 6x^2-2x+4 below lies above, below, or on the x-axis."

b^2-4ac= 2^2-4*6*4<0 so there are no real roots.
Since 6>0 the parabola opens up.
Therefore the vertex lies above the x-axis.
Cheers,
Stan H.