Question 869358
Not sure if your equation is {{{y=(1/2)x^2+x+5}}} or {{{y=(1/2)x^2-x+5}}}
Complete the square.
{{{y=(1/2)x^2+x+5}}}
{{{y=(1/2)(x^2+2x+1)+5-1/2}}}
{{{y=(1/2)(x+1)^2+9/2}}}
Or
{{{y=(1/2)x^2-x+5}}}
{{{y=(1/2)(x^2-2x+1)+5-1/2}}}
{{{y=(1/2)(x-1)^2+9/2}}}