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lawyer [7]
3 years ago
15

Please Help

Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

ANSWER

( {y  - 8)}^{2}  =  - 28(x + 5)

EXPLANATION

The given parabola has directrix x=2.

This implies that, the parabola is opens in the direction of the negative x-axis because it must open in a negative direction to the directrix.

The equation of such parabola is of the form:

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

where (h,k)=(-5,8) is the vertex.

|p|  = | - 2 - 5|  = 7

p =  \pm7

But the parabola opens to the left.

p=-7

The equation now becomes

( {y  - 8)}^{2}  = 4( - 7)(x   -  - 5)

( {y  - 8)}^{2}  =  - 28(x + 5)

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