Question 1032991
{{{y<=5x^2+6x+2}}}


Put into standard form.


{{{5(x^2+(6/5)x)+2}}}
{{{5(x^2+(6/5)x+(6/10)^2)-5(6/10^2)+2}}}
{{{5(x^2+(6/5)x+(3/5)^2)-5(3/5)^2+2}}}
{{{5(x+3/5)^2+2-9/5}}}
{{{highlight(5(x+3/5)^2+1/5)}}}


Vertex IS  (-3/5,1/5);


Check carefully about the points of the parabola being solutions.  INCLUSIVE inequality.  This should also be true.


Those are the only true choices of the four.