Mathematics, 14.07.2019 10:30 eddsworldfrantic
Derive the equation of the parabola with a focus at (2,-1) and a directrix of y=-1/2
Answers: 1
![\bf \begin{cases}h=2\\k=-\frac{3}{4}\\\\p=-\frac{1}{4}\end{cases}\implies 4\left( -\frac{1}{4} \right)\left[y- \left( -\frac{3}{4} \right) \right]=(x-2)^2\\\\\\-1\left( y+\frac{3}{4} \right)=(x-2)^2\implies y+\cfrac{3}{4} =-(x-2)^2\\\\\\y=-(x-2)^2-\cfrac{3}{4}](/tpl/images/0088/3395/8df3c.png)
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Derive the equation of the parabola with a focus at (2,-1) and a directrix of y=-1/2...
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