Question

what is the equation of the following graph?
file:///C:/Users/candice/Documents/jasmine%20school/Capture.PNG

Answer 1

Please attach your image in another form ^^

Answer 2

Do you know how to find the equation of a parabola by using two points?

Answer 3

im pretty sure the equation of the parabola is (X +1)^2 = 8(Y +4) im just not sure how to get the second line part

Answer 4

The second line part? You mean the directrix?

Answer 5

ya

Answer 6

do i need to include that in as part of the graph or did i already figure it out?

Answer 7

Well, the directrix is closely related to the focus in the fact that it is the same distance from the focus.
If you're just writing the equation, leave it out. If you're drawing a graph, make a dashed line at y=3

By the way, I'm not sure your equation is quite right.

Answer 8

*same distance from the vertex

Answer 9

oooh oops is it: (X +1)^2 = 4(Y +4) ?

Answer 10

Well, the vertex is at (1,4)
(x-h)^2=4p(y-k)
(x-1)^2=4(y-4)

Answer 11

how are you getting plus though? (the focus is 1,5) i just looked it up and it said it was subtraction not addition

Answer 12

Wait, what do you mean by getting plus?

Answer 13

oops sorry i meant to say minus.

Answer 14

Go to https://www.desmos.com/calculator
This is the equation of the parabola: (x-1)^2=4(y-4)
This is the focus: (1,5)
And this is the directrix (y=3)

Maybe looking at it visually will make most sense?

Answer 15

oh ya i guess you're right. thank you!

Answer 16

No problem :)