Answer:
[tex]x = \frac{1}{4} y^{2} +3y+15[/tex]
Step-by-step explanation:
Solution
As the focus is (7, -6), and
The directrix is x = 5,
so the parabola equation is
[tex](x-7)^{2}+[y-(-6)]^{2}=(x-5)^{2}[/tex]
[tex]x^{2}-14x+49+y^{2}+12y+36=x^{2} -10x+25[/tex]
[tex]4x=y^{2}+12y+60[/tex]
[tex]x=\frac{1}{4}y^{2}+3y+15[/tex]
{Points to focus distance and directrix are equal, to constitute a parabolic}
