Find the Standard Form of the Equation of the Hyperbola $( \pm 4,0 )$

question 43

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: $( \pm 4,0 )$ ; foci: $( \pm 8,0 )$

• A) \(\frac { y ^ { 2 } } { 48 } - \frac { x ^ { 2 } } { 16 } = 1\)
• B) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 48 } = 1\)
• C) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 48 } = 1\)
• D) \(\frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 48 } = 1\)
• E) \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 48 } = 1\)

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Definitions:

Meninx

The enveloping membrane of the brain and spinal cord; includes dura mater, arachnoid, and pia mater.

Periosteum

Thick, double-layered connective tissue sheath covering the entire surface of a bone, except the articular surface, which is covered with cartilage.

Femoral Nerve

A major nerve in the leg that supplies sensation to the front of the thigh and part of the lower leg as well as motor control to muscles of the leg and hip.

Quadriceps Femoris

A large muscle group that includes four muscles on the front of the thigh, responsible for extending the knee and stabilizing the patella.