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Ellipses
Related Topics
Wize High School Grade 12 Pre-Calculus Textbook > Conics [BC/AB]
Ellipses
5 Activities
Practice: Ellipses
Find the equation of an ellipse with the following characteristics:
Foci
(
−
4
,
3
)
(-4,3)
(
−
4
,
3
)
and
(
9
,
3
)
(9,3)
(
9
,
3
)
Vertices
(
−
7
,
3
)
(-7,3)
(
−
7
,
3
)
and
(
12
,
3
)
(12,3)
(
12
,
3
)
A)
(
2
x
+
5
)
2
19
+
(
y
+
3
)
2
23.25
=
1
\dfrac{(2x+5)^2}{\sqrt{19}}+\dfrac{(y+3)^2}{\sqrt{23.25}}=1
19
(
2
x
+
5
)
2
+
23.25
(
y
+
3
)
2
=
1
B)
(
2
x
−
5
)
2
19
+
(
y
−
3
)
2
23.25
=
1
\dfrac{(2x-5)^2}{\sqrt{19}}+\dfrac{(y-3)^2}{\sqrt{23.25}}=1
19
(
2
x
−
5
)
2
+
23.25
(
y
−
3
)
2
=
1
C)
(
2
x
−
5
)
2
19
+
(
y
−
3
)
2
23.25
=
1
\dfrac{(2x-5)^2}{19}+\dfrac{(y-3)^2}{23.25}=1
19
(
2
x
−
5
)
2
+
23.25
(
y
−
3
)
2
=
1
D)
(
2
x
+
5
)
2
19
+
(
y
+
3
)
2
23.25
=
1
\dfrac{(2x+5)^2}{19}+\dfrac{(y+3)^2}{23.25}=1
19
(
2
x
+
5
)
2
+
23.25
(
y
+
3
)
2
=
1
I don't know
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More Ellipses Questions:
Conics
Sketch a graph of the function
x
2
+
8
x
+
3
y
2
−
6
y
+
7
=
0
x^2+8x+3y^2-6y+7=0
x
2
+
8
x
+
3
y
2
−
6
y
+
7
=
0
.
Ellipses
Practice: Ellipses
Find the equation of an ellipse with the following characteristics:
Foci
(
5
,
−
4
)
(5,-4)
(
5
,
−
4
)
and
(
8
,
−
4
)
(8,-4)
(
8
,
−
4
)
Ellipses
Practice: Ellipses
Find the following information for the conic
4
x
2
+
4
x
+
2
y
2
−
8
y
−
9
=
0
4x^2+4x+2y^2-8y-9=0
4
x
2
+
4
x
+
2
y
2
−
8
y
−
9
=
0
.
Ellipses
Practice: Ellipses
Find the following information for the conic
49
x
2
−
7
x
+
81
y
2
+
9
y
−
450
=
0
49x^2-7x+81y^2+9y-450=0
49
x
2
−
7
x
+
81
y
2
+
9
y
−
450
=
0
.
Ellipses
Practice: Ellipses
Match the equation to the correct graph.
Ellipses
Practice: Ellipses
Match the equation to the correct graph.