Question

How do u do question 6. Pls help fast

Answer 1

`y= (a)/(x-h) +k \\x=4 \ vertical\ asymptote \\ Vertical\ asymptote \ can\ be\ found \ from \\ \\x - h = 0,\ x=h, \\ \\ so \ h = 4 \\ \\ y= (a)/(x-4) + k= (a+kx-4k)/(x-4) \\Vertical\ asymptote \ can\ be\ found\ as \\ \\ (kx)/(x) = k. \\ We\ know\ that\ vertical\ asymptote\ is\ 2,\ so\ k=2. \\ \\ y= (a)/(x-4) + 2 \\ \\ We \ need\ to\ find\ a.\ We\ have\ point\ (5,4),\ that\ belongs\ to\ \\this\ function.\ So, \\ \\ y= (a)/(x-4) + 2 \\ \\4= (a)/(5-4) + 2`


`4= (a)/(5-4) + 2 \\ \\ 2= (a)/(1) \\ \\ a=2 \\ \\ So,\ hyperbola\ has\ formula \\ \\ y= (2)/(x-4) +2`