Find the Vertex, Focus, and Directrix of the Parabola $( x - 1 ) ^ { 2 } + 16 ( y + 6 ) = 0$

question 186

Multiple Choice

Find the vertex, focus, and directrix of the parabola. $( x - 1 ) ^ { 2 } + 16 ( y + 6 ) = 0$

• A)Vertex: \(( 0 , - 4 )\) ; Focus: \(( 1 , - 6 )\) ; Directrix: \(y = 0\)
• B)Vertex: \(( 1 , - 10 )\) ; Focus: \(( 1 , - 10 )\) ; Directrix: \(y = 0\)
• C)Vertex: \(( - 4,1 )\) ; Focus: \(( - 4,1 )\) ; Directrix: \(y = 0\)
• D)Vertex: \(( 1 , - 6 )\) ; Focus: \(( 1 , - 10 )\) ; Directrix: \(y = 0\)
• E)Vertex: \(( 1 , - 6 )\) ; Focus: \(( 1 , - 4 )\) ; Directrix: \(y = 6\)

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Definitions:

Symbolic Form

the representation of objects, concepts, or actions by symbols to facilitate understanding or communication.

Components

Basic elements or parts that make up a system or device.

Connective

A term used in mathematics and logic to denote operations that combine statements, propositions, or terms.

Conditional Statement

A logical statement that has two parts: a hypothesis (if) and a consequent (then), where the consequent follows logically from the hypothesis.