Write an equation of the translation of y=3/x with asymptotes of x=7 and y= -5
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Answer: The equation of the parabola is .
Explanation:
It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.
The standard form of the parabola is,
Where y=k-p is directrix and (h,k+p) is the focus.
Since focus is given,
On comparing,
.... (1)
The directrix is y=7.
.... (2)
Add equation (1) and (2),
Put this value in (1).
Put p= -6, h= -5 and k=1 in the standard form of the parabola.
Therefore, the equation of parabola is .
