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Write an equation for the translation of y =5/x
that has the asymptotes x= -7 and y= 7

Sagot :

The equation for the translation of y = 5/x is y = 5/(x+7) + 7 if that has the asymptotes x= -7 and y= 7

What is hyperbola?

It is a curve in two-dimensional geometry having two parts, they both are symmetric. In other words, It can be defined as the number of points in the two-dimensional geometry that have a constant difference from that point to two fixed points in the plane.

We have:

[tex]\rm y = \dfrac{5}{x}[/tex]

Vertical asymptotes x= -7 and

Horizontal asymptotes y= 7

After translation:

[tex]\rm y = \dfrac{5}{x+7}+7[/tex]

Thus, the equation for the translation of y = 5/x is y = 5/(x+7) + 7 if that has the asymptotes x= -7 and y= 7

Learn more about the hyperbola here:

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