Write an equation for the translation of y = 4/x that has the asymptotes x = 7 and y = 6

Solution:

An asymptote is a line being approached by a curve but doesn't meet it infinitely.

In other words, you can say that an asymptote is a line to which the curve converges.

The asymptote never crosses the curve even though they get infinitely close.

When the resulting independent variable is zero, the vertical asymptote occurs

The values of the dependent variable coincide with the horizontal asymptote when the independent variable diverges to plus or minus infinity.

The translation formula is

y = 4/(x - 7) + 6

Therefore, the equation is y = 4/(x - 7) + 6.

Write an equation for the translation of y = 4/x that has the asymptotes x = 7 and y = 6

Summary:

An equation for the translation of y = 4/x that has the asymptotes x = 7 and y = 6 is y = 4/(x - 7) + 6.