Question

If necessary, use / for the fraction bar. 6and the focus (3,-5),what is the vertex form of the equation of the parabola? Given the directrix U The vertex form of the equation is a = SH Meny 4² (y +?

Answer 1

Directrix is the line x = 6 ;

Focus is the point (3,-5).

Thus, the focal length is

`(6-3)/(2)=1.5`

The vertex is ( 4.5 , -5 )

The equation of such a parabola that opens leftward is;

`\begin{gathered} x=-(1)/(4p)(y-k)^2+h \\ x=-(1)/(4*1.5)(y-(-5))^2+4.5 \end{gathered}`

Simplified as;

`x=-(1)/(6)(y+5)^2+4.5`