SOLUTION: Ok can you help me with this one? "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."

Algebra ->  Algebra  -> Graphs -> SOLUTION: Ok can you help me with this one? "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."      Log On

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Question 40292: Ok can you help me with this one?
"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."

Answer by stanbon(48516) About Me  (Show Source):
You can put this solution on YOUR website!
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.