Find the Vertex and Focus of the Parabola Below $$y ^ { 2 } + 6 y - 8 x + 20 = 0$$

question 4

Multiple Choice

Find the vertex and focus of the parabola below.
$$y ^ { 2 } + 6 y - 8 x + 20 = 0$$

• A) Vertex: \(\left( - \frac { 11 } { 8 } , 3 \right)\)
• Focus: \(\left( \frac { 5 } { 8 } , 3 \right)\)
• B) Vertex: \(\left( \frac { 11 } { 8 } , - 3 \right)\)
• Focus: \(\left( \frac { 27 } { 8 } , - 3 \right)\)
• C) Vertex: \(\left( \frac { 11 } { 8 } , - 3 \right)\)
• Focus: \(\left( \frac { 75 } { 8 } , - 3 \right)\)
• D) Vertex: \(\left( - \frac { 11 } { 8 } , 3 \right)\)
• Focus: \(\left( \frac { 53 } { 8 } , 3 \right)\)
• E) Vertex: \(\left( - \frac { 11 } { 8 } , - 3 \right)\)
• Focus: \(\left( \frac { 53 } { 8 } , - 3 \right)\)

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