Answered

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Please help. I am lost

Please Help I Am Lost class=

Sagot :

Answer:

Step-by-step explanation:

directrix is x=-4

or x+4=0

let (x,y) be any point on the parabola.

distance of (x,y) from (-1,15) is

[tex]=\sqrt{(x+1)^2+(y-15)^2}[/tex]

distance of (x,y) from x+4=0 is

[tex]=\frac{x+4}{\sqrt{1} } \\=(x+4)[/tex]

so

[tex]x+4=\sqrt{(x+1)^2+(y-15)^2} \\squaring\\x^{2} +8x+16=x^{2} +2x+1+(y-15)^2\\6x+15=(y-15)^2\\divide ~by~6\\x=\frac{1}{6} (y-15)^2-\frac{5}{2}[/tex]

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