document.write( "Question 1116275: Write the equation for the translation of y= 7/x that has asymptotes at x=-3 and y = 1 \n" ); document.write( "

Algebra.Com's Answer #731145 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "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.

\n" ); document.write( "So the function $\"y+=+7%2F%28x%2B3%29\"$ has the vertical asymptote at x = -3.

\n" ); document.write( "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.

\n" ); document.write( "The function $\"y+=+7%2F%28x%2B3%29%2B1\"$ has a vertical asymptote at x=3 and a horizontal asymptote are y=1.

\n" ); document.write( "The original function is translated 3 units left and 1 unit up. \n" ); document.write( "

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