Find the Standard Form of the Equation of the Parabola $x ^ { 2 } = - 12 y$

question 60

Multiple Choice

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. ​
Directrix: x = 3
​

• A) \(x ^ { 2 } = - 12 y\)
• B) \(y ^ { 2 } = 12 x\)
• C) \(y ^ { 2 } = \frac { x } { 12 }\)
• D) \(x ^ { 2 } = 12 y\)
• E) \(y ^ { 2 } = - 12 x\)

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Definitions:

Testosterone

A primary male sex hormone responsible for the development and maintenance of male physical characteristics and reproductive tissues.

Luteinizing Hormone

A hormone produced by the anterior pituitary gland that plays a key role in regulating the menstrual cycle and ovulation in females, and testosterone production in males.

Progesterone

A steroid hormone involved in the menstrual cycle, pregnancy, and embryo development.

Aldosterone

Aldosterone is a steroid hormone produced by the adrenal cortex that regulates sodium and potassium balance in the blood, influencing blood pressure and fluid balance.