Question 730118
From the given, 4x^2 +32x+2y+10=0 to standard y=a(x-h)^2+k,


First, divide by 2 and then solve for y. Put into general form.  Now, Complete the Square and continue putting into whatever corresponds to {{{y=a(x-h)^2+k}}}.


{{{2x^2+16x+y+5=0}}}
{{{y=-2x^2-16x-5}}}
And before going into Completing the Square, you want to factor part of the right-member expression,
{{{y=-2(x^2+8x)-5}}}
From there, you need to identify the square term to add and subtract in order to perform the rest of the Completing of the Square process.


(Use {{{(8/2)^2=16}}}, and ADD it INSIDE the parentheses and SUBTRACT {{{(-2)*(16)}}} OUTSIDE the parentheses...)