Find the Vertex, the Focus, and the Directrix of the Parabola

question 1

Multiple Choice

Find the vertex, the focus, and the directrix of the parabola.
- $$\mathrm { x } ^ { 2 } - 10 \mathrm { x } + 8 \mathrm { y } + 9 = 0$$

• A) Vertex: \(\left( 5 , - \frac { 1 } { 2 } \right)\); Focus: \(( 5 , - 6 )\); Directrix: \(\mathrm { y } = - 10\)
• B) Vertex: \(\left( 5 , \frac { 15 } { 8 } \right)\); Focus: \(( 5 , - 6 ) ;\) Directrix: \(y = \frac { 17 } { 8 }\)
• C) Vertex: \(\left( 5 , \frac { 9 } { 2 } \right)\); Focus: \(( 5,4 )\); Directrix: \(y = 0\)
• D) Vertex: \(( 5,2 )\); Focus: \(( 5,0 )\); Directrix: \(y = 4\)

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Definitions:

Social Interest

A concept developed by Alfred Adler, referring to an individual's attitude towards and awareness of being a part of the human community.

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