Answered: "The conic for the equation (x+1)2=4(−1)(y−2) and also..."

usagirl007A

Answered question

2020-11-12

The conic for the equation ${(x + 1)}^{2} = 4 (- 1) (y - 2)$ and also describe the translation of the from standard position.

SoosteethicU

Skilled2020-11-13Added 102 answers

Consider the equation,

{(x + 1)}^{2} = 4 (- 1) (y - 2)

Now, compare the above equation with the standard equation of the parabola, that is,

{(x - h)}^{2} = 4 p (y - k) .

h = - 1, k = 2 and p = - 1

Thus, the equation

{(x + 1)}^{2} = 4 (- 1) (y - 2)

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, 2 - 1) = (- 1, 1)

and the directrix is,

y = k - p

= 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.

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?