Ellipse Questions

Consider the ellipse: 4(x - 1)^2 + 16(y + 3)^2 = 64
• How do you know this is an ellipse?
• Write in standard form.
• Identify the major axis and its length and the minor axis and its length.
• Graph and label the center.
• Plot the foci and explicit

Math

Ellipse Solutions

Consider the ellipse: 4(x - 1)^2 + 16(y + 3)^2 = 64 • How do you know this is an ellipse? • Write in standard form. • Identify the major axis and its length and the minor axis and its length. • Graph and label the center. • Plot the foci and explicitly write the points. • Write the domain and range.

An 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

Math

Ellipse Solutions

An 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

The equation of a conic section is given in a familiar form. Identify the type of graph that the equation has, without actually graphing.
x2 y2
= 1-
49 36
.
Choose the correct classification below.
O Parabola
Circle
O Ellipse
0 Hyperbola
Time Remaining: 01

Math

Ellipse Solutions

The equation of a conic section is given in a familiar form. Identify the type of graph that the equation has, without actually graphing. x2 y2 = 1- 49 36 . Choose the correct classification below. O Parabola Circle O Ellipse 0 Hyperbola Time Remaining: 01:42:42 Next

Find an equation of an ellipse satisfying the given conditions.
Foci: (-4,0) and (4,0)
Length of major axis: 12
...
The equation of the ellipse matching these conditions is
(Type your answer in standard form.)

Math

Ellipse Solutions

Find an equation of an ellipse satisfying the given conditions. Foci: (-4,0) and (4,0) Length of major axis: 12 ... The equation of the ellipse matching these conditions is (Type your answer in standard form.)

Find the center, the vertices, and the foci of the ellipse. Then draw the graph.
25(x - 5)2 +9(y + 2)2 = 225
+
..
The center is
(Type an ordered pair.)
The vertices are
(Type an ordered pair. Use a comma to separate answers as needed.)
The foci are
(Type a

Math

Ellipse Solutions

Find the center, the vertices, and the foci of the ellipse. Then draw the graph. 25(x - 5)2 +9(y + 2)2 = 225 + .. The center is (Type an ordered pair.) The vertices are (Type an ordered pair. Use a comma to separate answers as needed.) The foci are (Type an ordered pair. Use a comma to separate answers as needed.) Choose the correct graph below. A. B. Oc. OD. a -100 LY 7 10

pointis, possible
Submit quiz
Choose the correct graph below.
y2x2
Graph the hyperbola = 1. Give the domain, range, center, vertices, foci,
49 4
and equations of the asymptotes for the figure.
OA.
OB.
Ay
O O
7
OD. y= + 2*
OC.
OD
y2 x2
Graph the hyperbola
4

Math

Ellipse Solutions

pointis, possible Submit quiz Choose the correct graph below. y2x2 Graph the hyperbola = 1. Give the domain, range, center, vertices, foci, 49 4 and equations of the asymptotes for the figure. OA. OB. Ay O O 7 OD. y= + 2* OC. OD y2 x2 Graph the hyperbola 49 4 =1 The domain is (Type your answer in interval notation.) The range is (Type your answer in interval notation.) S. u (1,1) VI More + oo C . O Time Remaining: 00:20:07 Next

Choose the correct graph below.
Graph the given ellipse. Identify the domain, range, center, vertices, endpoints of
the minor axis, and foci in the figure.
OA.
OB.
(x-4)2 (+5)2
Ay
Ay
+
=1
4
9
B
-
!
The foci of the ellipse are (4.-5+ V5).(4.-5-15)
(Type ord

Math

Ellipse Solutions

Choose the correct graph below. Graph the given ellipse. Identify the domain, range, center, vertices, endpoints of the minor axis, and foci in the figure. OA. OB. (x-4)2 (+5)2 Ay Ay + =1 4 9 B - ! The foci of the ellipse are (4.-5+ V5).(4.-5-15) (Type ordered pairs. Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.) D. OC. AY ry 2 (x-4)2 (y + 5)2 lete + Graph the ellipse = 1. 4 9 The domain of the graph is (Type your answer in interval notation.) The range of the graph is a (Type your answer in interval notation.)

G
y
10+
9+
8
7-
61
5+
2+
1
(3,0)
-3,0)
4+
10-9-8-7-6-5-4-3-2
1
3
4
9 10
-17
-2
-3+
-5
6
-9-
-10-
Identify the coordinates of the co-vertices of the ellipse shown in the figure above.
Identify the coordinates of the co-vertices of the ellipse shown in the f

Math

Ellipse Solutions

G y 10+ 9+ 8 7- 61 5+ 2+ 1 (3,0) -3,0) 4+ 10-9-8-7-6-5-4-3-2 1 3 4 9 10 -17 -2 -3+ -5 6 -9- -10- Identify the coordinates of the co-vertices of the ellipse shown in the figure above. Identify the coordinates of the co-vertices of the ellipse shown in the figure above Select the correct answer below: O (-3.0) and (3.0) O (-5.0) and (5.0) 0 (0.-4) and (0.4) 0 (0,0) only O (-5.0), (5.0), (0.-4), and (0.4)

4x2 + 36y2 + 40x + 72y - 8 = 0
Step 4 of 4: Find the coordinates of the two foci of this ellipse. Round your answer to two decimal places.
Answer
Enter the coordinates to plot points on the graph.
Enable Zoom
fock:
© 2022 Hawkes Learning

Math

Ellipse Solutions

4x2 + 36y2 + 40x + 72y - 8 = 0 Step 4 of 4: Find the coordinates of the two foci of this ellipse. Round your answer to two decimal places. Answer Enter the coordinates to plot points on the graph. Enable Zoom fock: © 2022 Hawkes Learning

An equation of an ellipse is given.
(x - 1)2 + (y - 2)
9
4
(a) Find the center, vertices, and foci of the ellipse.
(132 = 2 = 1
center (x, y) =
focus
(x, y) =
(smaller x-value)
focus
(larger x-value)
(x, y) =(
vertex (x, y) =(
) (smaller x-value)
)
:) (lar

Math

Ellipse Solutions

An equation of an ellipse is given. (x - 1)2 + (y - 2) 9 4 (a) Find the center, vertices, and foci of the ellipse. (132 = 2 = 1 center (x, y) = focus (x, y) = (smaller x-value) focus (larger x-value) (x, y) =( vertex (x, y) =( ) (smaller x-value) ) :) (larger x-value) vertex (x,y) = (b) Determine the lengths of the major and minor axes. major axis units minor axis units

Consider the following equation of an ellipse.
2/9
Correct
4x2 + 36y2 + 40x + 72y - 8 = 0
Step 3 of 4: Find the endpoints of the major and minor axes of this ellipse.
Answer
Enter the coordinates to plot points on the graph. Any lines or curves will be dra

Math

Ellipse Solutions

Consider the following equation of an ellipse. 2/9 Correct 4x2 + 36y2 + 40x + 72y - 8 = 0 Step 3 of 4: Find the endpoints of the major and minor axes of this ellipse. Answer Enter the coordinates to plot points on the graph. Any lines or curves will be drawn once all required points are plotted. Enable Zoom/Pan 10 major axis endpoints: ) and

Correct
Consider the following equation of an ellipse.
(x – 4) jul
+
= 1
16
Step 2 of 3: Find the endpoints of the major and minor axes of this ellipse.
Answer
Enter the coordinates to plot points on the graph. Any lines or curves will be drawn once all re

Math

Ellipse Solutions

Correct Consider the following equation of an ellipse. (x – 4) jul + = 1 16 Step 2 of 3: Find the endpoints of the major and minor axes of this ellipse. Answer Enter the coordinates to plot points on the graph. Any lines or curves will be drawn once all required points are plotted. Enable Zo 10 major axis endpoints: ) and

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