Write the Standard Form of the Equation of the Parabola $\left( - \frac { 2 } { 3 } , \frac { 1 } { 9 } \right)$

question 41

Multiple Choice

Write the standard form of the equation of the parabola that has a vertex at $\left( - \frac { 2 } { 3 } , \frac { 1 } { 9 } \right)$ and passes through the point $( 2,3 )$ .

• A) \(f ( x ) = \frac { 13 } { 32 } \left( x - \frac { 3 } { 2 } \right) ^ { 2 } + \frac { 1 } { 9 }\)
• B) \(f ( x ) = \frac { 13 } { 32 } \left( x + \frac { 2 } { 3 } \right) ^ { 2 } + \frac { 1 } { 9 }\)
• C) \(f ( x ) = \frac { 13 } { 4 } \left( x - \frac { 2 } { 3 } \right) ^ { 2 } - \frac { 1 } { 9 }\)
• D) \(f ( x ) = \frac { 13 } { 8 } \left( x - \frac { 3 } { 2 } \right) ^ { 2 } - \frac { 1 } { 9 }\)
• E) \(f ( x ) = \frac { 13 } { 4 } \left( x + \frac { 2 } { 3 } \right) ^ { 2 } + \frac { 1 } { 9 }\)

---

Definitions:

Vocal Cords

Folded membranes in the larynx that vibrate to produce sounds when air is expelled from the lungs.

Larynx

Cartilaginous organ located between the pharynx and the trachea; in humans, contains the vocal cords; sometimes called the voice box.

Bronchi

The major air passages of the lungs that diverge from the windpipe, allowing the transportation of air in and out of the lungs.

Tidal Volume

The volume of air inhaled or exhaled in a normal breath during resting conditions.