Write an equation for the translation of y = 6/x that has the asymptotes x = 4 and y = 5

Solution:

Given,

Vertical asymptotes x = 4

Horizontal asymptotes y = 5

The graph of y = 6/x has vertical asymptote x = 0 (the y-axis) and horizontal asymptote y = 0 (the x-axis).

An asymptote is a line to which the curve converges.

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 = 6/(x - 4) + 5

Therefore, the equation is y = 6/(x - 4) + 5.

Write an equation for the translation of y = 6/x that has the asymptotes x = 4 and y = 5

Summary:

An equation for the translation of y = 6/x that has the asymptotes x =4 and y = 5 is y = 6/(x - 4) + 5.