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