SOLUTION: What are the slopes of the asymptotes of a hyperbola with equation (y - 2) squared/ 1 squared - (x- 4) squared/ 3 squared = 1?
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Question 629767: What are the slopes of the asymptotes of a hyperbola with equation (y - 2) squared/ 1 squared - (x- 4) squared/ 3 squared = 1?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The slopes of the asymptotes of a hyperbola are either + or +. If you're like me you have trouble which one to use when. This can be figured out, as you'll see shortly.
From the equation we can tell that- a = 1 (since is always under the first term)
- b = 3 (since is always under the first term)
- the hyperbola is vertically oriented (since the the first term has "y", not "x", in it).
On a vertically oriented hyperbola, the a will be a vertical distance (IOW a "rise") and the b will be a horizontal distance (IOW, a "run"). Since slope is always rise/run we will need to use + for this hyperbola.
So the slopes of this particular hyperbola are +
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