Question

Graph
(x+4)^2=-8(y-2)

Parabola?
Vertex: (-4,2)
Directrix:y=2??
Please check my answers @ganeshie8

Answer 1

its a parabola cuz you have only one square term

Answer 2

vertex is right

Answer 3

directrix looks wrong

Answer 4

check again

Answer 5

\(\large (x+4)^2=-8(y-2)\)

compare wid standard form :
\(\large (x-h)^2=4p(y-k)\)

Answer 6

\(\large 4p = -8 \implies p = -2\)
right ?

Answer 7

yes y=-2?

Answer 8

Directrix : \(\large y = k-p\)

Answer 9

-4

Answer 10

you should get :

Directrix : \(\large y = 2 --2 \implies y = 4\)

Answer 11

ok can u show me how the graph looks like....idk what points to plug in

Answer 12

just sketch it roughly

Answer 13

first plot vertex and directrix

Answer 14

Excellent !
and you must be knowing that the parabola always opens toward Focus.
and Focus will be on mirror opposite side of directrix

Answer 15

how do u find the focus?