Question

write the equation given these characteristics in a parabola : focus (-3,-2) and directrix y=1

Answer 1

formula should b (x-h)^2 = 4p (y-k) I know the vertex will be (-3, _____) i dont get how to find the y in the vertex and the p

Answer 2

well u r missing some equations for the focus and the directrix

Answer 3

for example for the focus u have
(h, k+p) =(-3,-2)
and for the directrix u have y=1=k-p

Answer 4

but what is k ? how did you find it

Answer 5

u have 2 equation with 2 variales that is
k+p = -2
1= k-p

Answer 6

i get that but how did you get the value for each it is a bit confusing

Answer 7

vortex is always halfway between diretrix and focus so
vertex must be
(-3,-0.5)

so
h=-3
k=-0.5

p=(distance from focus to vortex )
p=1.5

Answer 8

did you get it ?

Answer 9

thankssss i did