Write an Equation for the Ellipse $( \pm 2 \sqrt { 15 } , 0 ) ; x$

question 162

Multiple Choice

Write an equation for the ellipse.
-foci at $( \pm 2 \sqrt { 15 } , 0 ) ; x$ -intercepts $\pm 8$

• A) \(\frac { x ^ { 2 } } { 2 } + \frac { y ^ { 2 } } { 8 } = 1\)
• B) \(\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 2 } = 1\)
• C) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 4 } = 1\)
• D) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 64 } = 1\)

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Definitions:

Vertebral Foramen

The central opening in a vertebra through which the spinal cord passes.

Intervertebral Foramen

An opening between adjacent vertebrae through which nerves and blood vessels pass.

Coccyx

The small, triangular bone at the base of the spinal column, consisting of three to five fused vertebrae, commonly referred to as the tailbone.

Spinous Process

A bony projection off the posterior (back) of each vertebra, serving as a point for muscle and ligament attachment.