Find the Asymptotes of the Hyperbola $$y ^ { 2 } - x ^ { 2 } = 9$$

question 17

Multiple Choice

Find the asymptotes of the hyperbola.
- $$y ^ { 2 } - x ^ { 2 } = 9$$

• A) \(y = \frac { 1 } { 9 } x\) and \(y = - \frac { 1 } { 9 } x\)
• B) \(y = \frac { 1 } { 3 } x\) and \(y = - \frac { 1 } { 3 } x\)
• C) \(y = x\) and \(y = - x\)
• D) \(y = 3 x\) and \(y = - 3 x\)

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Definitions:

Peripheral Nerves

Nerves located outside the brain and spinal cord, responsible for relaying information between the central nervous system and the rest of the body.

Stretch Reflex

An involuntary muscle contraction response to the stretching within the muscle, protecting the muscle from over-stretching and maintaining muscle tone.

Crossed-Extensor Reflex

A reflex action in which an extensor muscle in one limb is activated in response to a painful stimulus in another limb, facilitating balance and postural adjustment.

Subarachnoid Space

The space between the arachnoid mater and pia mater in the brain and spinal cord, filled with cerebrospinal fluid.