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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.
- x210x+8y+9=0\mathrm { x } ^ { 2 } - 10 \mathrm { x } + 8 \mathrm { y } + 9 = 0


A) Vertex: (5,12) \left( 5 , - \frac { 1 } { 2 } \right) ; Focus: (5,6) ( 5 , - 6 ) ; Directrix: y=10\mathrm { y } = - 10
B) Vertex: (5,158) \left( 5 , \frac { 15 } { 8 } \right) ; Focus: (5,6) ;( 5 , - 6 ) ; Directrix: y=178y = \frac { 17 } { 8 }
C) Vertex: (5,92) \left( 5 , \frac { 9 } { 2 } \right) ; Focus: (5,4) ( 5,4 ) ; Directrix: y=0y = 0
D) Vertex: (5,2) ( 5,2 ) ; Focus: (5,0) ( 5,0 ) ; Directrix: y=4y = 4

Correct Answer:

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