hi,

write down the equation of the circle which is obtained by applying the given translation to the given circle:

$\displaystyle [1, 0]$$\displaystyle x^2 + y^2 + 4x - 2y = 2$

i first started by rearranging the equation into:

$\displaystyle (x + 2)^2 - 4 + (y - 1)^2 - 1 = 2$ and then

$\displaystyle (x + 2)^2 + (y - 1)^2 = 7$ and then translate it

$\displaystyle (x + 1)^2 + (y - 1)^2 = 7$

but the books answer is $\displaystyle x^2 + y^2 + 2x - 2y = 5$

can someone show me the steps to arriving at that answer please and also where i went wrong with mine? thanks