Shift the origin to a suitable point so that the equation `y^2+4y+8x-2=0` will not contain term of `y` and the constant term.

Explanation

Given,`y^2+4y+8x−2=0`

`=y2+2⋅(2)⋅y+4−4=2−8x`

`=(y+2)^2=6−8x`

`=(y+2)^2=8(6/8​−x)`

`=(y+2)^2=8(3/4​−x)`

Now, equation will become-
`Y^2=8X`

Here `Y=y+2`

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