You are supposed to find the direction, vertex, axis of symmetry and whether the point is minimum or maximum

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so

remember some stuff
to find the axis of symmetry of y=ax^2+bx+c
the axis of symmetry is x=-b/(2a)
that is also the x value of the vertex
to get the y value of the vertex, sub the x value of the vertex into the function

and if a is positive, then the parabola opens up and the vertex is a minimum
if a is negative, parabola opens down and vertex is max

so

y=3x^2-6x+4
3 is positive so vertex is a minimum
axis of symmetry is -(-6)/(2*3)=6/6=1
x=1 is axis of symmetry and x value of vertex
sub to find y
y=3(1)^2-6(1)+4
y=3(1)-6+4
y=3-2
y=1

axis of symmetry is x=1
vertex is (1,1)
it is a minimum
the parabola opens up