Consider the quadratic equation y = –3x2 – 2x + 4.  A. Find the value of the discriminant.  B. How many real roots does the equation have?  C. Does the vertex of the graph of the equation lie above, on, or below the x-axis?  



Answer :

A. discriminant = 52;
B. 2, because 52 > 0
C. - discrminant / 4a = -52 / -12 = 6 > 0 =>  the vertex of the graph of the equation lie above the x-axis.

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