Find the Vertex and Focus of the Parabola Below $$y ^ { 2 } + 10 y - 8 x + 30 = 0$$

question 7

Multiple Choice

Find the vertex and focus of the parabola below.
$$y ^ { 2 } + 10 y - 8 x + 30 = 0$$

• A) Vertex: \(\left( - \frac { 5 } { 8 } , 5 \right)\)
• Focus: \(\left( \frac { 11 } { 8 } , 5 \right)\)
• B) Vertex: \(\left( \frac { 5 } { 8 } , - 5 \right)\)
• Focus: \(\left( \frac { 21 } { 8 } , - 5 \right)\)
• C) Vertex: \(\left( \frac { 5 } { 8 } , - 5 \right)\)
• Focus: \(\left( \frac { 69 } { 8 } , - 5 \right)\)
• D) Vertex: \(\left( - \frac { 5 } { 8 } , 5 \right)\)
• Focus: \(\left( \frac { 59 } { 8 } , 5 \right)\)
• E) Vertex: \(\left( - \frac { 5 } { 8 } , - 5 \right)\)
• Focus: \(\left( \frac { 59 } { 8 } , - 5 \right)\)

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