Question

Please help. Medal! Write the general form of the equation which matches the graph below.In complete sentences, explain the process taken to find this equation.

Answer 1

@robtobey @radar @precal @hoblos can any of you help?

Answer 2

By chance is this right?

Answer 3

(y-3)^2 = -16x

Answer 4

@AccessDenied @bakonloverk @Compassionate @Diego98512 @eliassaab @Firejay5
Can any of you help?

Answer 5

Your answer is correct.

Answer 6

How do I explain it though? By chance can you help me give an explanation? @eliassaab

Answer 7

Let (x,y) be a point on the parabola, then the distance from (x,y) to the focus must be equal to the distance to the directrix x=4, Hence
\[
(x+4)^2+(y-3)^2=(x-4)^2\\

(y-3)^2=(x-4)^2-(x+4)^2 \\
(y-3)^2=x^2 -8x +16 - x^2 -8x -16=-16 x
\]

Answer 8

Thank you