Question 1157403
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    {{{graph( 330, 330, -3, 3, -10, 4,
          -3x^2+3x-2
)}}}


                Plot y = {{{-3x^2+3x-2}}}



(a)  Opens downward  (since the leading coefficient is negative).


(b)  Vertex  x = {{{-3/(2*(-3))}}} = 0.5.

             y = -3*0.5^2 + 3*(0.5) - 2 = -1.25.


(c)  axis of symmetry:  x = 0.5.


(d)  It is opened downward and has negative maximum  --- H E N C E, there is NO x-intercepts.


     It is clear LOGICALLY and VISUALLY, but if you want algebraic confirmation, calculate the DISCRIMINANT of the equation
     to assure that it is NEGATIVE.


(e)  increases at (-oo,0.5).  Decreases at (0.5,oo).


As you see, my answers ALL are opposite to yours.


All answers in your post are INCORRECT.   (All means EACH and EVERY).
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