Find the Vertex, Focus, and Directrix of the Parabola $$( x + 5 ) ^ { 2 } = 4 \left( y - \frac { 5 } { 2 } \right)$$

question 69

Multiple Choice

Find the vertex, focus, and directrix of the parabola. $$( x + 5 ) ^ { 2 } = 4 \left( y - \frac { 5 } { 2 } \right)$$

• A)
• Vertex: \(\left( \frac { 5 } { 2 } , - 5 \right) ;\) Focus: \(\left( - 5 , \frac { 7 } { 2 } \right) ;\) Directrix: \(y = \frac { 3 } { 2 }\)
• B) Vertex: \(\left( - 5 , \frac { 5 } { 2 } \right) ;\) Focus: \(\left( - 5 , \frac { 3 } { 2 } \right) ;\) Directrix: \(y = \frac { 7 } { 2 }\)
• C) Vertex: \(\left( \frac { 5 } { 2 } , - 5 \right) ;\) Focus: \(\left( - 5 , \frac { 3 } { 2 } \right) ;\) Directrix: \(y = \frac { 3 } { 2 }\)
• D) Vertex: \(\left( - 5 , \frac { 5 } { 2 } \right) ;\) Focus: \(\left( - 5 , \frac { 7 } { 2 } \right) ;\) Directrix: \(y = \frac { 3 } { 2 }\)
• E) Vertex: \(( 0,0 )\); Focus: \(\left( - 5 , \frac { 7 } { 2 } \right) ;\) Directrix: \(y = \frac { 7 } { 2 }\)

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Lymphangiosarcoma

A rare and aggressive form of cancer that develops from the lymphatic system, often associated with chronic lymphedema.

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