Algebra IIPlease check
posted by Jodi
Please helpWhat is the equation of the ellipse with foci (0,6), (0,6) and covertices (2,0),(2,0)
Please explain the steps because I have 5 to do for homeworkThank youI'm really stuck on this
I thought the answer would be x^2/4 + y^2/40 = 1 but that can't be because the choices are:
x^2/1 + y^2/40 = 1 or x^2/1 + y^2/36
I'm really confused

Henry
F1(0,6), F2(0,6).
The focus points show that the xcoordinate is constant @ zero, and the
ycoordinate varies from 6 to +6. Therefore, the focus points are on a vertical line. Which means we have a yellipse and a^2 is under y^2 in the Eq.
X^2/b^2 + Y^2/a^2 = 1.
b = +2.
F^2 = a^2  b^2,
F^2 = a^2  2^2 = 6^2,
a^2  4 = 36,
a^2 = 40,
Eq: X^2/4 + Y^2/40 = 1.
Check: Let Y = 0 and solve for X:
X^2/4 + 0/40 = 1,
X^2/4 = 1,
Multiply both sides by 4:
X^2 = 4,
X = +2 = b = covertices = xintercepts. In your 1st choice, the "1"
should be a 4.
NOTES:
1. "a" is always greater than b.
2. If this was an xellipse, a^2
would be located under X^2.
3. "a" is always on the major(longst)
axis.
Respond to this Question
Similar Questions

Algebra 2 Honors Ellipses
for my homework problem i have the equation: (x^2/16) + (y^2/4) = 1 I need to find out the center, the vertices, co vertices and the Foci. I have trouble knowing how to find them, so if you can please explain them. Thank you. 
Algebra 2 Honors Ellipses REAL ONE
for my homework problem i have the equation: (x^2/16) + (y^2/1) = 1 I need to find out the center, the vertices, co vertices and the Foci. I have trouble knowing how to find them, so if you can please explain them. Thank you. 
Algebra 2
Choose the equation that best represents an ellipse for the given foci and covertices. 1. foci (+2, 0) covertices (0, +4) 2. foci (+3, 0) covertices (0,+6) 3. foci (0, +3) covertices (+5, 0) Choose the equation for the hyperbola … 
Algebra II
Please helpI'm totally lost What is the equation of the ellipse with foci(10,0), (10,0) and covertices (0,3),(0,3) x^2/109 + y^2/9 = 1 X62/100 + y^2/9 = 1 Please show me the steps because I have others to do and I'm really stuck 
Algebra
Please helpWhat is the equation of the ellipse with foci (0,6), (0,6) and covertices (2,0),(2,0) Please explain the steps because I have 5 to do for homeworkThank youI'm really stuck on this 
Algebra II Please check
Please helpWhat is the equation of the ellipse with foci (0,6), (0,6) and covertices (2,0),(2,0) Please explain the steps because I have 5 to do for homeworkThank youI'm really stuck on this I thought the answer would be x^2/4 … 
AlgebraPlease checkI must have done something wr
Please helpWhat is the equation of the ellipse with foci (0,6), (0,6) and covertices (2,0),(2,0) My answer and logic is below but it can't be correct I thought the answer would be x^2/4 + y^2/40 = 1 but that can't be because the … 
Algebra IIPlease check
I'm sorry the computer jammed on an earlier post and I couldn't do anythingso here is the problem I need asistance with Please check and offer adviceI'm NOT SURE IF I USED CORRECT FORMULASthank you the problem is List the center, … 
algebra 2
Graph the equation. Identify the vertices, covertices, and foci of the ellipse. 64x^2+16y^2=1024 This is what i have so far vertices (0,8)(0,8) foci(0,4√3),(0,4√3) 
algebra
An ellipse has foci (0,+3) and vertices (0,+4). What is the eccentricity of the ellipse?