SOLUTION: Dear Sir, Please help me solve this problem and please show your solution also because am really very slow in Math am already 61 years old. Find the equation of the ellipse w

Question 1181121: Dear Sir,
Please help me solve this problem and please show your solution also because am really very slow in Math am already 61 years old.
Find the equation of the ellipse with center at (0, 0), length of major axis is 8, and a focus at (0, −2). Identify the parts of the ellipse and sketch the graph.
Parts of an Ellipse Graph of an Ellipse
1. Center
2. Foci
𝐹1
𝐹2
3. Vertices
𝑉1
𝑉2
4. Co-vertices
𝐵1
𝐵2
5. Endpoints of Latus
Rectum
𝐸1
𝐸2
𝐸3
𝐸4
6. Directrices
7. Eccentricity
8. Length of LR
9. Length of Major Axis
10.Length of Minor Axis
Thank you very much and God Bless you.
Lorna

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Find the equation of the ellipse

with center at (, ), =>,
the equation of the ellipse is

length of major axis is =>
and a focus at (, )
since a focus is at (, )=>
and
other focus is on oposite side of the center at (, )

your equation is: major axis is on y-axis, so goes with

1. Center (, )
2. Foci
𝐹1 (, )
𝐹2(, )
3. Vertices V =>(,),(,)
𝑉1 (,)
𝑉2(,)
4. Co-vertices =>(,),(,)
𝐵1(, )
𝐵2(, )
5. Endpoints of Latus
Rectum
𝐸1 (, )=> (, )=> (, )
𝐸2(, )=> (, )=> (, )
𝐸3(, )=> (, )=> (, )
𝐸4(, )=> (, )=> (, )
6. Directrices: ,
7. Eccentricity:
8. Length of LR:
First latus rectum:
Second latus rectum:
The length of the latera recta:
9. Length of Major Axis:
10.Length of Minor Axis:

RELATED QUESTIONS
Dear Sir, Please help me solve this problem with your solution. Convert the general (answered by Boreal)

Dear Sir/Madam, Please help me solve this problem: Show that (1-sinA+cosA)^2 =... (answered by MathLover1)

Hello my name is Aaliyah and I really need help on this problem. 2x-5y=-158 x-y=-40... (answered by nerdybill,feliz1965,stanbon)

Dear Sir/Madam, Please help me with this math problem. If(logax) (logbx) = logab,... (answered by Fombitz)

Dear Sir/Madam; A pleasant day! Please help me with this Math problem about... (answered by richard1234)

DEar Sir/Madam, Please help me in solving this problem, I am not much familiar with... (answered by solver91311)

Dear Sir/Madam, A pleasant day to you! Can you please help me with this problem, I do (answered by solver91311)

hello i am trying to understand and figure out how to solve graphing.. example. 3x... (answered by Earlsdon)

Dear Sir/Madam, Please help me with this question, Solve {{{2^(2x) - 3^(2y) =... (answered by Edwin McCravy)