Question 1032534
Change from general form into standard form and you will see what happened to a and k.  Look for the lesson on this, involving Completing the Square.


{{{y=2(x^2-6x)+22}}}
{{{y=2(x^2-6x+9-9)+22}}}
{{{y=2((x-3)^2-9)+22}}}
{{{y=2(x-3)^2-18+22}}}
{{{highlight(y=2(x-3)^2+4)}}}


Beginning with y=x^2,  a changed from 1 to 2.  k changed from  0 to 4.
c changed from 0 to 22.  General form would be from {{{ax^2+bx+c=y}}}.  Usual symbolism for stating standard form is {{{y=a(x-h)^2+k}}}.