Mathematics, 15.03.2022 14:00 tayleeanntabeln2097
A parabola can be drawn given a focus of (-9, -7) and a directrix of x = 9. Write the equation of the parabola in any form.
Answers: 1
![\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}](/tpl/images/2695/5051/012c2.png)
![\begin{cases} h=0\\ k=-7\\ p=-9 \end{cases}\implies 4(-9)(x-0)~~ = ~~[y-(-7)]^2 \\\\\\ -36x=(y+7)^2\implies x=-\cfrac{1}{36}(y+7)^2](/tpl/images/2695/5051/a0ba7.png)
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A parabola can be drawn given a focus of (-9, -7) and a directrix of x = 9. Write
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