Find the Standard Form of the Equation of the Ellipse $\frac { ( x + 1 ) ^ { 2 } } { 81 } + \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1$

question 19

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics. ​
​vertices: (-1,-11) , (-1,7) ,minor axis of length 2
​

• A) \(\frac { ( x + 1 ) ^ { 2 } } { 81 } + \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1\)
• B) \(\frac { ( x + 2 ) ^ { 2 } } { 81 } + \frac { ( y + 1 ) ^ { 2 } } { 4 } = 1\)
• C) \(\frac { ( x + 1 ) ^ { 2 } } { 4 } + \frac { ( y + 2 ) ^ { 2 } } { 81 } = 1\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 81 } + \frac { ( y - 1 ) ^ { 2 } } { 4 } = 1\)
• E) \(\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 81 } = 1\)

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Definitions:

Top-Down Processing

A cognitive process that starts with the brain applying what it knows and expects to perceive and interpret new information.

The Fovea

A tiny pit located in the macula of the retina that provides the clearest vision of all; it's responsible for sharp central vision.

The Retina

A layer at the back of the eye that contains cells sensitive to light and triggers nerve impulses that pass via the optic nerve to the brain, where a visual image is formed.

Optic Nerve

The structure at the back of the eye, made up of axons of the ganglion cells, that carries visual information to the brain for further processing.