Conic for the equation (x+1)^2=4(-1)(y^(-2)) and also describe the translation of the from standard position.

usagirl007A 2020-11-12 Answered

The conic for the equation (x+1)2=4(1)(y2) and also describe the translation of the from standard position.

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Expert Answer

SoosteethicU
Answered 2020-11-13 Author has 102 answers
Consider the equation,
(x+1)2=4(1)(y2)
Now, compare the above equation with the standard equation of the parabola, that is, (xh)2=4p(yk).
h=1,k=2andp=1
Thus, the equation (x+1)2=4(1)(y2)
is the equation of the parabola with vertex at (1,2)
and the directed distance from vertex to focus lies at (h,k+p)=(1,21)=(1,1) and the directrix is,
y=kp
=2(1)
=3
The graph is shown below,
Therefore, the graph has been shifted 2 units upward and 1 unit to the left from the standard position.
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