Question 983269

{{{y=16-x-x^2}}}....rearrange the terms

{{{y=-x^2-x+16}}}

{{{y=-(x^2+x)+16}}}

{{{y=-(x^2+x+_)-(-1)*_+16}}}.....coefficient {{{a=1}}} and {{{2ab=1}}}=>{{{2*1*b=1}}}=>{{{b=1/2}}}

{{{y=-(x^2+x+(1/2)^2)-(-1)(1/2)^2+16}}}

{{{y=-(x^2+x+1/4)+1/4+16}}}

{{{y=-(x+1/4)^2+1/4+64/4}}}

{{{y=-(x+1/4)^2+65/4}}}