Question

Write the equation of a parabola with a vertex at (10, 0) and a directrix x = 8.

Answer 1

x+10= 1/8^x2
y-10= 1/8^x2
y+10= 1/8^x2
x-10= 1/8^x2
are my choices

Answer 2

@rishavraj

Answer 3

anything? @baad1994

Answer 4

The distance from V to the directrix is the same from V to F
So you have this:
P=-2 (Negative because the parabola is open to the left)
and V(8,0)
The form of your equation is
\[(y-k)^{2}=4p(x-h)\]
where (h,k) is your V and p is the distance from V to F
\[(y-0)^{2}=-4*2(x-8)\]
\[(y-0)^{2}=-8(x-8)\]
\[y^{2}=-8x+64\]

Answer 5

the image is wrong .. is this image