Question

write the standard form of the equation of the parabola whose directrix is x=-1 and whose focus is at (5,-2)

Answer 1

\[
(x+1)^2 = (x-5)^2 + (x+2)^2
\]

Answer 2

hmm not one of my choices

Answer 3

\[
(x+1)^2 = (x-5)^2 + (y+2)^2
\]

Answer 4

a) (y+2)^2=12(x+2)

b) y-2=12(x+2)^2

c) x+2=1/12(y+2)^2

d) x-2=1/12(y+2)^3

Answer 5

*****d)x-2=1/12(y+2)^2

Answer 6

It is d. You can simplify my answer above to get that.

Answer 7

ok thanks

Answer 8

\[
(x+1)^2-(x-5)^2=(y+2)^2\\
12 x-24=(y+2)^2\\
12( x-2)=(y+2)^2\\
( x-2)=\frac 1 {12}(y+2)^2

\]