Find the Standard Form of the Equation of the Parabola $x ^ { 2 } = \frac { 36 } { 8 } y$

question 27

Multiple Choice

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. ​
Vertical axis and passes through the point (6,8)
​

• A) \(x ^ { 2 } = \frac { 36 } { 8 } y\)
• B) \(y ^ { 2 } = \frac { 8 } { 36 } x\)
• C) \(x ^ { 2 } = \frac { 8 } { 36 } y\)
• D) \(y ^ { 2 } = x\)
• E)​ \(y ^ { 2 } = \frac { 36 } { 8 } x\)

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Definitions:

Arrector Pili Muscle

Small muscles attached to hair follicles in mammals, contraction of these muscles causes the hairs to stand on end, known as "goosebumps."

Sebaceous Gland

A tiny organ located in the skin that produces a lubricating oily substance known as sebum, which is released into the hair follicles to keep both the skin and hair moisturized.

Hair Follicles

Tubular invaginations of the epidermis from which hairs grow and are nourished.

Apocrine Gland

A type of gland found in the skin, breast, eyelid, and ear that secretes sweat, fatty compounds, and proteins, often associated with body odor.