Question 1051428
Need to Know:
the vertex form of a Parabola opening up(a>0) or down(a<0),
 {{{y=a(x-h)^2 +k}}}
|
 f(x)=-3x^2+6x-2
 f(x)=-3(x^2-2x + 1) -3 -2
 f(x)=-3(x - 1)^2 -5  
Parabola opening Downward -3 < 0
(1, -5) relative max
check graph for increasing and decreasing:
{{{drawing(300,300,    -10,10,-10,10,  blue(line(1,10,1,-10))  ,  
 grid(1),
circle(1, -5,0.4),

graph( 300, 300, -10,10,-10,10,0, -3(x - 1)^2 -5 ))}}}