Mathematics, 04.07.2019 02:00, abbyramirez52
Write an equation of the parabola with focus f(0,-3) and directrix y=3
Answers: 1
![\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \boxed{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=0\\ k=0\\ p=-3 \end{cases}\implies 4(-3)(y-0)=(x-0)^2 \\\\\\ -12y=x^2\implies \blacktriangleright y=-\cfrac{1}{12}x^2\blacktriangleleft](/tpl/images/0048/5569/c4c72.png)
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Write an equation of the parabola with focus f(0,-3) and directrix y=3...
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