# Ellipse Questions and Answers

Math

EllipseFind the equation of the ellipse with the following properties. Express your answer in standard form.
Vertices at (-5, -2) and (-5, 12)
Minor axis of length 2

Math

EllipseGraph the given ellipse. Identify the domain, range, center, vertices, endpoints of
the minor axis, and foci in the figure.
(x-1)²/4 + (y + 1)²/9 =1
The center of the ellipse is (1,-1).
(Type an ordered pair.)
The vertices are .
(Type ordered pairs. Use a comma to separate answers as needed.)

Math

EllipseConsider the following equation of an ellipse.
9x² + 49y² +90x+ 392y + 568 = 0
Step 1 of 4: Rewrite this equation in the standard form of an ellipse.
Answer

Math

EllipseConsider the following equation of an ellipse. (x+2)^2 /9 + (y-1)^2 /81 =1
Find the center of this ellipse.
Answer
Enter the coordinates to plot points on the graph.
center:

Math

EllipseConsider the following equation of an ellipse.
(x - 2)²/4+(y + 2)² /16 =1
Step 3 of 3: Find the coordinates of the two foci of this ellipse. Round your answer to two decimal places
Enter the coordinates to plot points on the graph.

Math

EllipseAn arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet
write the standard equation.
x²/900+ y²/1600=1
x²/1600+ y²/900=1
x²/6400+ y²/900=1

Math

EllipseFind an equation of an ellipse satisfying the given conditions.
Foci: (-4, 0) and (4, 0)
Length of major axis: 12

Algebra

EllipseFind the equation of the ellipse with the center (6,3), a focus at (3,3), and a vertex at (11,3).

Math

EllipseAn equation of an ellipse is given.
x2/25 + y²/16 = 1
25 16
(a) Find the vertices, foci, and eccentricity of the ellipse.

Math

EllipseAn elliptical-shaped path surrounds a garden, modeled by (x-22)/225+ (y-26)²/324 =1, where all measurements are in feet. What is the maximum distance between any two persons on the path, and what key feature does this represent?
15 feet; minor axis
18 feet; minor axis
36 feet major axis
225 feet; major axis

Math

EllipseAn equation of an ellipse is given.
(a) Identify the center of the ellipse.
(b) Determine the value of a.
(c) Determine the value of b.
(d) Identify the vertices.
(e) Identify the endpoints of the minor axis.
(f) Identify the foci.
(g) Determine the length of the major axis.
(h) Determine the length of the minor axis.
(i) Graph the ellipse.
Express numbers in exact, simplest form.
9x^2 + 64y^2 = 576

Math

EllipseFind the standard form of the equation of the ellipse satisfying the given conditions. Major axis horizontal with length 10; length of minor axis = 4; center: (0, 0).
Standard form of the equation:

Math

EllipseConsider the standard form of the equation x²/25 + y²/36 = 1
The value of a² is, so the y-intercepts are The graph passes through the ordered pairs which are the vertices.
The value of b² is, so the x-intercepts are The graph passes through the ordered pairs
The value of a² is, so the y-intercepts are The graph passes through the ordered pairs , which are the vertices.
The value of b² is, so the x-intercepts are The graph passes through the ordered pairs

Math

EllipseFill in the blanks so that the resulting statement is true.
Consider the standard form of the equation x2 4 + y2 36 = 1
The value of a² is so the y-intercepts are The graph passes through the ordered pairs, which are the vertices.
The value of b² is so the x-intercepts are The graph passes through the ordered pairs

Math

EllipseFind the standard form of the equation of the ellipse satisfying the following conditions.
Major axis vertical with length 12; length of minor axis = 10; center: (7,6)
The standard form of the equation is

Math

EllipseConsider the equation of the following (x+8)²/4 conic section: + (y + 6)² = 1. Use Desmos and scratch paper to determine the following characteristics of the conic section:
Name of Conic Section:
Center.
Foci:
Eccentricity: