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

question 29

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:

Simultaneously

Simultaneously means occurring, operating, or done at the same time.

Inverse Relationship

A relationship between two variables in which an increase in the value of one variable leads to a decrease in the value of the other variable, and vice versa.

Type I Error

The mistaken dismissal of a correct null hypothesis, referred to as a "false positive."

Type II Error

A statistical mistake made by failing to reject a false null hypothesis, also known as a false negative.