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

Question 165

Multiple Choice

Find the vertex, the focus, and the directrix of the parabola.
- 2x2+20xy+53=02 x ^ { 2 } + 20 x - y + 53 = 0


A) Vertex: (5,0) ( - 5,0 ) ; Focus: (5,5) ( - 5,5 ) ; Directrix: x=1x = 1
B) Vertex: (5,2417) \left( - 5 , - \frac { 24 } { 17 } \right) ; Focus: (5,238) ;\left( - 5 , \frac { 23 } { 8 } \right) ; Directrix: x=258x = \frac { 25 } { 8 }
C) Vertex: (5,3) ( - 5,3 ) ; Focus: (5,11) ( - 5,11 ) ; Directrix: x=5x = 5
D) Vertex: (5,3) ( - 5,3 ) ; Focus: (5,258) \left( - 5 , \frac { 25 } { 8 } \right) ; Directrix: y=238y = \frac { 23 } { 8 }

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