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Equations of Hyperbola (3)
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Vertex: left parenthesis, negative "a" plus "h" , "k" , right parenthesis
−
a
+
h
,
k
Label:
equals
=
left parenthesis, 0.3 , negative 0.9 , right parenthesis
0
.
3
,
−
0
.
9
8
Co-Vertex: left parenthesis, "h" , "b" plus "k" , right parenthesis
h
,
b
+
k
Label:
equals
=
left parenthesis, 2.6 , 1.4 , right parenthesis
2
.
6
,
1
.
4
9
Co-Vertex: left parenthesis, "h" , negative "b" plus "k" , right parenthesis
h
,
−
b
+
k
Label:
equals
=
left parenthesis, 2.6 , negative 3.2 , right parenthesis
2
.
6
,
−
3
.
2
10
foci: left parenthesis, StartRoot, "a" squared plus "b" squared , EndRoot plus "h" , "k" , right parenthesis
a
2
+
b
2
+
h
,
k
Label:
equals
=
left parenthesis, 5.8 5 2 6 9 1 1 9 , negative 0.9 , right parenthesis
5
.
8
5
2
6
9
1
1
9
,
−
0
.
9
11
foci: left parenthesis, negative StartRoot, "a" squared plus "b" squared , EndRoot plus "h" , "k" , right parenthesis
−
a
2
+
b
2
+
h
,
k
Label:
equals
=
left parenthesis, negative 0.6 5 2 6 9 1 1 9 , negative 0.9 , right parenthesis
−
0
.
6
5
2
6
9
1
1
9
,
−
0
.
9
12
Example Ellipse Equation:
Example Ellipse Equation:
13
Expression 14: "y" equals StartFraction, "b" Over "a" , EndFraction left parenthesis, "x" minus "h" , right parenthesis plus "k"
y
=
b
a
x
−
h
+
k
14
Expression 15: "y" equals negative StartFraction, "b" Over "a" , EndFraction left parenthesis, "x" minus "h" , right parenthesis plus "k"
y
=
−
b
a
x
−
h
+
k
15
16
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powered by
Center
Vertex
Co-Vertex
Co-Vertex
foci
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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