A parabola can be drawn given a focus of \( ( - 5,5 ) \) and a directrix of \( x = 7 \) . Write the equation of the parabola in any form.
Pregunta
Answer
Standard form: \( x = - \frac { y ^ { 2 } } { 24 } + \frac { 5 y } { 12 } - \frac { 1 } { 24 }\)
General form: \( - 24 x - y ^ { 2 } + 10 y - 1 = 0\)
Vertex form: \( x = - \frac { ( y - 5 ) ^ { 2 } } { 24 } + 1\)
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