y=5x^2+22x+8
"The vertex form is can be written as "y=a(x-h)^2-k
"where (h,k) is vertex coordinates"
y=5x^2+22x+color(red)(24.2-24.2)+8
y=5x^2+22x+24.2-16.2
y=5(color(green)(x^2+4.4x+4.84))-16.2
color(green)(x^2+4.4x+4.84)=(x+2.2)^2
y=5(x+2.2)^2-16.2