Question

Find the standard form of the equation of the parabola with a focus at (-8, 0) and a directrix at x = 8
@mathstudent55 help please

Answer 1

@morganchavez @madzfl @amberxoxo @DarkMoonZ @franzmller682 @Hotchellerae21 @Here_to_Help15 @iamabarbiegirl @johnweldon1993

Answer 2

@Mertsj

Answer 3

@Michele_Laino

Answer 4

Please apply the definition of parabola, namely a parabola is the curve where all points of it are equidistant from focus and from directrix

Answer 5

so consider a point (x,y) that belongs to our parabola, and write the distance "d" between that point and the focus of our parabola, using this formula:

\[d=\sqrt{(x-x _{F})^{2}+(y-y _{F})^{2}}\]
where:
(x_F,y_F)=(-8,0)

Answer 6

namely, set x_F=-8, and y_F=0, into my formula above

Answer 7

Thanks