Question

Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −one half.

f(x) = −(x + 2)2 − three fourths
f(x) = (x + 2)2 + three fourths
f(x) = −(x − 2)2 + three fourths
f(x) = −(x − 2)2 − three fourths

Answer 1

i need to solve it
@XhawaiiangirlX

Answer 2

Okay would you like steps or just a straight answer?

Answer 3

well for now straight answer because i have 2 more but on the last one u can do steps

Answer 4

Straight Answers are never acceptable on OS @XhawaiiangirlX

Answer 5

@supercalifragalisticexspeaalli I guess you gave up on Slader.

Answer 6

@Hero Please do not bring trouble thank you for the notification but if u look alot of other people they give straight answer. Also, i was just about to explain how i got the answer.

Answer 7

how can u check it
@XhawaiiangirlX
yea lol it won't load on my laptop
@Hero

Answer 8

okay as i was saying we are trying to find the vertex

Answer 9

To be specific the vertex form of a parabola

Answer 10

yea

Answer 11

The equation for this is y = a(x - h)^2 + k

Answer 12

k

Answer 13

(h, k) is the vertex but in this case it is (2,-1)

Answer 14

k

Answer 15

(2,-1) is the focus, not the vertex @XhawaiiangirlX

Answer 16

(2,-1) is the vertex and focus inn this equation hero thx for pointing that out :)

Answer 17

lol

Answer 18

@XhawaiiangirlX that is not correct.

Answer 19

I answer the rest in chat @Hero

Answer 20

@supercalifragalisticexspeaalli are you familiar with the distance formula that applies to this kind of problem?

Answer 21

kinda