Question 315834
Complete the square to put the equation into vertex form, {{{y=a(x-h)^2+k}}}
{{{2x^2+8x+5=2(x^2+4x)+5}}}
{{{2x^2+8x+5=2(x^2+4x+2)+5-8}}}
{{{2x^2+8x+5=2(x+2)^2-3}}}
Vertex is (-2,-3)
The axis of symmetry is x=-2.
{{{drawing(300,300,-8,6,-8,8,blue(line(-2,10,-2,-10)),grid(1),circle(-2,-3,.3),graph(300,300,-8,6,-8,8,2x^2+8x+5))}}}