Hyperbola asymptote question

Find the asymptotes of the following hyperbola: ((x-1)^2 / 4) - ((y+2)^2 / 1) = 1

In solving this problem, could you please show the work so that I can understand how it is done? Thanks.

For a horizontal transverse axis: ( x - h )^2 / a^2 - ( y - k )^2 / b^2 = 1

the asymptotes are : y = +/- b/a ( x - h ) + k

For this problem: a = 2; b = 1; h = +1; k = -2 so the asymptotes are:

y = +/- 1/2 ( x - 1 ) - 2 meaning

y = +0.5( x ) - 5/2 and y = -0.5 ( x) - 3/2 are the asymptote lines.

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