Write an Equation for the Parabola $( - 2,5 )$ , Directrix

question 198

Multiple Choice

Write an equation for the parabola.
-vertex: $( - 2,5 )$ , directrix: $y = 10$

• A) \(( \mathrm { x } + 2 ) ^ { 2 } = - 20 ( \mathrm { y } + 5 )\)
• B) \(( y + 2 ) ^ { 2 } = - 20 ( x - 5 )\)
• C) \(( y + 2 ) ^ { 2 } = 8 ( x - 5 )\)
• D) \(( x + 2 ) ^ { 2 } = - 20 ( y - 5 )\)

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Definitions:

MEO

Medium Earth Orbit, a region of space around the Earth above low Earth orbit (LEO) and below geostationary orbit (GEO), typically used for navigation and communication satellites.

Orbital Speed

The speed at which an object must travel to maintain its orbit around a celestial body, determined by the gravitational pull of the body and the distance from it.

GEO

Geostationary Earth Orbit; a circular orbit 35,786 kilometers above the Earth's equator and following the direction of the Earth's rotation.

LEO

Low Earth Orbit, referring to satellites that orbit the Earth at altitudes between 160 to 2,000 kilometers, primarily used for telecommunications and earth observation.