Question and answer
Find the equation for the parabola described it's vertex , directrix and focus . Vertex=(-e,-e) directrix=y= -2e focus=(-e,0)
Given: Vertex=(-e,-e), directrix: y= -2e, focus=(-e,0) (y-k) = (1/4a)(x-h)^2 Where (h,k) is the vertex, a is the distance from the vertex to the focus (and from the vertex to the directrix), and e is the distance from the vertex to the focus. h = -e k = -e a = e e = a/2 Therefore, substituting these values in the vertex form, we get: (y+e) = (1/4e)(x+e)^2 x^2 = 4ey x^2 = 2ay Therefore, the equation of the parabola is x^2 = 2ay.
Question
Asked 3/16/2016 4:44:25 AM
Updated 361 days ago|4/30/2023 12:15:45 AM
1 Answer/Comment
f
Get an answer
New answers
Rating
3


Given: Vertex=(-e,-e), directrix: y= -2e, focus=(-e,0)

(y-k) = (1/4a)(x-h)^2

Where (h,k) is the vertex, a is the distance from the vertex to the focus (and from the vertex to the directrix), and e is the distance from the vertex to the focus.

h = -e
k = -e
a = e
e = a/2

Therefore, substituting these values in the vertex form, we get:

(y+e) = (1/4e)(x+e)^2

x^2 = 4ey


x^2 = 2ay

Therefore, the equation of the parabola is x^2 = 2ay.
Added 361 days ago|4/30/2023 12:15:45 AM
This answer has been confirmed as correct and helpful.
Comments

There are no comments.

Add an answer or comment
Log in or sign up first.
Questions asked by the same visitor
Allyii 11 months ago Find an equation for the parabola described by its vertex, directrix, and focus point: vertex (-e, -e); directrix y =-2e; focus (-e, 0) (y+e)^2 = 4e(x+e) (x-e)^2 = 4e(y-e) (x+e)^2 = 4e(y+e) (y-e)^2 = 4e(x-e)
Question
Not Answered
Updated 361 days ago|4/30/2023 12:16:06 AM
1 Answer/Comment


(y + e)^2 = 4e(x + e)

or

y^2 + 2ey + e^2 = 4ex + 4e^2

This is because the directrix is a horizontal line and the focus is on the negative side of the y-axis, which means the parabola opens to the left. Therefore, the equation should have the form (y + k)^2 = 4p(x - h), where (h, k) is the vertex and p is the distance between the vertex and the focus.
Added 361 days ago|4/30/2023 12:16:06 AM
This answer has been confirmed as correct and helpful.
Rated good by Aj25
Find an equation for the parabola described by its vertex, directrix, and focus point: vertex (-e, -e); directrix y =-2e; focus (-e, 0) (y+e)^2 = 4e(x+e) (x-e)^2 = 4e(y-e) (x+e)^2 = 4e(y+e) (y-e)^2 = 4e(x-e)
Question
Not Answered
Updated 334 days ago|5/27/2023 12:53:52 AM
2 Answers/Comments
(y + e)^2 = 4e(x + e)
or
y^2 + 2ey + e^2 = 4ex + 4e^2

This is because the directrix is a horizontal line and the focus is on the negative side of the y-axis, which means the parabola opens to the left. Therefore, the equation should have the form (y + k)^2 = 4p(x - h), where (h, k) is the vertex and p is the distance between the vertex and the focus.
Added 334 days ago|5/27/2023 12:53:47 AM
This answer has been confirmed as correct and helpful.
(y + e)^2 = 4e(x + e)
or
y^2 + 2ey + e^2 = 4ex + 4e^2

This is because the directrix is a horizontal line and the focus is on the negative side of the y-axis, which means the parabola opens to the left. Therefore, the equation should have the form (y + k)^2 = 4p(x - h), where (h, k) is the vertex and p is the distance between the vertex and the focus.
Added 334 days ago|5/27/2023 12:53:52 AM
This answer has been added to the Weegy Knowledgebase
Deleted by Aj25 [5/27/2023 12:53:54 AM], Unflagged by Aj25 [2/16/2024 2:18:29 AM]
Find the equation for the parabola described it's vertex , directrix and focus
Weegy: Hello how are you? User: Find the equation for the parabola described it's vertex , directrix and focus . Vertex=(-e,-e) directrix=y= -2e focus=(-e,0) (More)
Question
Updated 334 days ago|5/27/2023 12:54:39 AM
1 Answer/Comment
(x + e)^2 = 4e^2y + 4e^3. is the equation for the parabola described it's vertex , directrix and focus . Vertex=(-e,-e) directrix=y= -2e focus=(-e,0).
(x - h)^2 = 4p(y - k),
(x + e)^2 = 4p(y - k)
(x + e)^2 = 4p(y + p)
(x + e)^2 = 4e^2(y + e)
(x + e)^2 = 4e^2y + 4e^3

Thus, the equation for the parabola is:

(x + e)^2 = 4e^2y + 4e^3.
Added 334 days ago|5/27/2023 12:54:39 AM
This answer has been confirmed as correct and helpful.
39,079,390
questions answered
GET
Answers.
GET THE APP.
weegy*
*
Get answers from Weegy and a team of really smart live experts.
Popular Conversations
What is the primary pigment responsible for the color of the skin, ...
Weegy: Pigment is the substance or powder that makes up the color of a paint. User: What is the chemical symbol for ...
4/23/2024 12:09:48 PM| 4 Answers
What was Kennedy's most popular foreign policy initiative, allowing ...
Weegy: The PEACE CORPS was Kennedy's most popular foreign policy initiative, allowing Americans to volunteer for two ...
4/23/2024 11:42:14 PM| 4 Answers
Claystone is an example of what?
Weegy: A claystone is a lithified and non-cleavable mudrock. User: Which characteristic of minerals may be described ...
4/19/2024 2:47:01 PM| 3 Answers
8. All living things must:
Weegy: A living will is a document that lets people state their wishes for end-of-life medical care, in case they ...
4/20/2024 12:41:31 AM| 3 Answers
"11. You do like going to the party alone. _____ you? 1. Does 2. ...
Weegy: June doesn't want to go to the play. User: "12. We had our house _______ in yellow. 1. painting 2. painted 3. ...
4/20/2024 11:24:51 PM| 3 Answers
GET
Answers.
GET THE APP.
weegy*
*
Get answers from Weegy and a team of really smart live experts.
S
L
P
1
P
P
L
Points 1234 [Total 5022] Ratings 4 Comments 1194 Invitations 0 Offline
S
L
Points 612 [Total 612] Ratings 11 Comments 502 Invitations 0 Offline
S
L
Points 218 [Total 1580] Ratings 2 Comments 198 Invitations 0 Offline
S
L
L
Points 94 [Total 7074] Ratings 1 Comments 84 Invitations 0 Offline
S
L
R
R
L
Points 92 [Total 7114] Ratings 0 Comments 92 Invitations 0 Offline
S
L
1
1
1
1
Points 51 [Total 2306] Ratings 5 Comments 1 Invitations 0 Online
S
Points 20 [Total 20] Ratings 0 Comments 0 Invitations 2 Offline
S
Points 12 [Total 12] Ratings 0 Comments 12 Invitations 0 Offline
S
Points 10 [Total 10] Ratings 0 Comments 0 Invitations 1 Offline
S
Points 10 [Total 34] Ratings 1 Comments 0 Invitations 0 Offline
* Excludes moderators and previous
winners (Include)
Home | Contact | Blog | About | Terms | Privacy | © Purple Inc.