What are the slopes of the asymptotes of a hyperbola with equation (y-2)^2/1^2 - (x-4)^2/3^2 = 1?

D. 1/3 and -1/3

Step-by-step explanation:

In conclusion the bro above is correct

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.