SOLUTION: Write the equation for the translation of y= 7/x that has asymptotes at x=-3 and y = 1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the equation for the translation of y= 7/x that has asymptotes at x=-3 and y = 1      Log On


   

Question 1116275: Write the equation for the translation of y= 7/x that has asymptotes at x=-3 and y = 1
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given function y+=+7%2Fx has a vertical asymptote at x=0, because x=0 makes the denominator 0, which is not allowed. To have the vertical asymptote at x=-3, the denominator has to be x-(-3), or x+3.

So the function y+=+7%2F%28x%2B3%29 has the vertical asymptote at x = -3.

The new function y+=+7%2F%28x%2B3%29 has a horizontal asymptote at y=0; to get the horizontal asymptote at y=1 you need to add 1 to the function.

The function y+=+7%2F%28x%2B3%29%2B1 has a vertical asymptote at x=3 and a horizontal asymptote are y=1.

The original function is translated 3 units left and 1 unit up.