Find the Vertex,focus,and Directrix of the Parabola $y = - 3 x ^ { 2 }$

question 10

Multiple Choice

Find the vertex,focus,and directrix of the parabola.​ $y = - 3 x ^ { 2 }$ ​

• A)Vertex: (0,0);Focus: \(\left( 0 , - \frac { 1 } { 12 } \right)\) ;Directrix: \(y = - \frac { 1 } { 12 }\)
• B)Vertex:(0,0);Focus: \(\left( 0 , - \frac { 1 } { 12 } \right)\) ;Directrix: \(y = \frac { 1 } { 12 }\)
• C)Vertex: (0,0);Focus: \(\left( 0 , \frac { 1 } { 3 } \right)\) ;Directrix: \(y = \frac { 1 } { 3 }\)
• D)Vertex: (0,0);Focus: \(\left( 0 , \frac { 1 } { 12 } \right)\) ;Directrix: \(y = \frac { 1 } { 12 }\)
• E)Vertex: (0,0);Focus: \(\left( 0 , - \frac { 1 } { 3 } \right)\) ;Directrix: \(y = \frac { 1 } { 3 }\)

---

Definitions:

Sex Discrimination

Unfair or unequal treatment based on an individual's sex, often resulting in disadvantage or exclusion.

Hostile Work Environment

A form of harassment in a workplace where the conduct creates an intimidating, hostile, or offensive environment for employees.

Disparate Treatment

A form of discrimination where an individual or group is treated less favorably than others based on prohibited grounds, such as race, age, or gender.

Burden of Proof

The obligation to present evidence to support one's claim or assertion, often resting on the party who initiates legal proceedings.