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Envelope of a Parabola
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Expression 10: "X" equals StartFraction, phi plus "F" Subscript, 1 , Baseline Over 2 , EndFraction
X
=
ϕ
+
F
1
2
equals
=
negative 12.2 3 5
−
1
2
.
2
3
5
negative 12.1 3 5
−
1
2
.
1
3
5
negative 12.0 3 5
−
1
2
.
0
3
5
negative 11.9 3 5
−
1
1
.
9
3
5
negative 11.8 3 5
−
1
1
.
8
3
5
negative 11.7 3 5
−
1
1
.
7
3
5
negative 11.6 3 5
−
1
1
.
6
3
5
negative 11.5 3 5
−
1
1
.
5
3
5
negative 11.4 3 5
−
1
1
.
4
3
5
negative 11.3 3 5
−
1
1
.
3
3
5
negative 11.2 3 5
−
1
1
.
2
3
5
negative 11.1 3 5
−
1
1
.
1
3
5
negative 11.0 3 5
−
1
1
.
0
3
5
negative 10.9 3 5
−
1
0
.
9
3
5
negative 10.8 3 5
−
1
0
.
8
3
5
251 element list
10
Expression 11: "Y" equals StartFraction, "L" left parenthesis, phi , right parenthesis plus "F" Subscript, 2 , Baseline Over 2 , EndFraction
Y
=
L
ϕ
+
F
2
2
equals
=
negative 4.3 7 7 0 0 2 4 5 7
−
4
.
3
7
7
0
0
2
4
5
7
negative 4.3 6 0 5 4 0 5 4 0 5 4
−
4
.
3
6
0
5
4
0
5
4
0
5
4
negative 4.3 4 4 0 7 8 6 2 4 0 8
−
4
.
3
4
4
0
7
8
6
2
4
0
8
negative 4.3 2 7 6 1 6 7 0 7 6 2
−
4
.
3
2
7
6
1
6
7
0
7
6
2
negative 4.3 1 1 1 5 4 7 9 1 1 5
−
4
.
3
1
1
1
5
4
7
9
1
1
5
negative 4.2 9 4 6 9 2 8 7 4 6 9
−
4
.
2
9
4
6
9
2
8
7
4
6
9
negative 4.2 7 8 2 3 0 9 5 8 2 3
−
4
.
2
7
8
2
3
0
9
5
8
2
3
negative 4.2 6 1 7 6 9 0 4 1 7 7
−
4
.
2
6
1
7
6
9
0
4
1
7
7
negative 4.2 4 5 3 0 7 1 2 5 3 1
−
4
.
2
4
5
3
0
7
1
2
5
3
1
negative 4.2 2 8 8 4 5 2 0 8 8 5
−
4
.
2
2
8
8
4
5
2
0
8
8
5
negative 4.2 1 2 3 8 3 2 9 2 3 8
−
4
.
2
1
2
3
8
3
2
9
2
3
8
negative 4.1 9 5 9 2 1 3 7 5 9 2
−
4
.
1
9
5
9
2
1
3
7
5
9
2
negative 4.1 7 9 4 5 9 4 5 9 4 6
−
4
.
1
7
9
4
5
9
4
5
9
4
6
negative 4.1 6 2 9 9 7 5 4 3
−
4
.
1
6
2
9
9
7
5
4
3
negative 4.1 4 6 5 3 5 6 2 6 5 4
−
4
.
1
4
6
5
3
5
6
2
6
5
4
251 element list
11
Expression 12: "S" equals StartFraction, "F" Subscript, 1 , Baseline minus phi Over "L" left parenthesis, phi , right parenthesis minus "F" Subscript, 2 , Baseline , EndFraction
S
=
F
1
−
ϕ
L
ϕ
−
F
2
equals
=
negative 4.3 1 6 8 7 1 6 2 4 4 3
−
4
.
3
1
6
8
7
1
6
2
4
4
3
negative 4.3 0 7 0 3 1 2 5
−
4
.
3
0
7
0
3
1
2
5
negative 4.2 9 7 0 8 0 0 7 7 3
−
4
.
2
9
7
0
8
0
0
7
7
3
negative 4.2 8 7 0 1 6 2 2 4 4 4
−
4
.
2
8
7
0
1
6
2
2
4
4
4
negative 4.2 7 6 8 3 7 7 6 6 6 4
−
4
.
2
7
6
8
3
7
7
6
6
6
4
negative 4.2 6 6 5 4 2 7 3 5 0 4
−
4
.
2
6
6
5
4
2
7
3
5
0
4
negative 4.2 5 6 1 2 9 1 1 5 4 5
−
4
.
2
5
6
1
2
9
1
1
5
4
5
negative 4.2 4 5 5 9 4 8 4 6 9 7
−
4
.
2
4
5
5
9
4
8
4
6
9
7
negative 4.2 3 4 9 3 7 8 2 0 6 8
−
4
.
2
3
4
9
3
7
8
2
0
6
8
negative 4.2 2 4 1 5 5 8 7 8 2 4
−
4
.
2
2
4
1
5
5
8
7
8
2
4
negative 4.2 1 3 2 4 6 8 1 0 3 8
−
4
.
2
1
3
2
4
6
8
1
0
3
8
negative 4.2 0 2 2 0 8 3 5 5 4 6
−
4
.
2
0
2
2
0
8
3
5
5
4
6
negative 4.1 9 1 0 3 8 1 9 7 8 5
−
4
.
1
9
1
0
3
8
1
9
7
8
5
negative 4.1 7 9 7 3 3 9 6 6 3 2
−
4
.
1
7
9
7
3
3
9
6
6
3
2
negative 4.1 6 8 2 9 3 2 3 2 4 1
−
4
.
1
6
8
2
9
3
2
3
2
4
1
251 element list
12
Expression 13: "d" Subscript, 1 , Baseline equals "D" Subscript, 2 "x" , Baseline minus "D" Subscript, 1 "x" , Baseline
d
1
=
D
2
x
−
D
1
x
equals
=
8.1 4
8
.
1
4
13
Expression 14: "d" Subscript, 2 , Baseline equals "D" Subscript, 2 "y" , Baseline minus "D" Subscript, 1 "y" , Baseline
d
2
=
D
2
y
−
D
1
y
equals
=
1.3 4
1
.
3
4
14
Graphs
Graphs
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15
Expression 16: "T" left parenthesis, "t" , right parenthesis equals "Y" plus "S" left parenthesis, "t" minus "X" , right parenthesis
T
t
=
Y
+
S
t
−
X
16
Expression 17: "L" left parenthesis, "t" , right parenthesis equals "D" Subscript, 2 "y" , Baseline plus StartFraction, "d" Subscript, 2 , Baseline Over "d" Subscript, 1 , Baseline , EndFraction left parenthesis, "t" minus "D" Subscript, 2 "x" , Baseline , right parenthesis
L
t
=
D
2
y
+
d
2
d
1
t
−
D
2
x
17
Hidden Label: left parenthesis, phi , "T" left parenthesis, phi , right parenthesis , right parenthesis
ϕ
,
T
ϕ
Label
equals
=
left parenthesis, negative 25 , 50.7 3 , right parenthesis
−
2
5
,
5
0
.
7
3
left parenthesis, negative 24.8 , 50.1 9 , right parenthesis
−
2
4
.
8
,
5
0
.
1
9
left parenthesis, negative 24.6 , 49.6 5 , right parenthesis
−
2
4
.
6
,
4
9
.
6
5
left parenthesis, negative 24.4 , 49.1 1 , right parenthesis
−
2
4
.
4
,
4
9
.
1
1
left parenthesis, negative 24.2 , 48.5 7 , right parenthesis
−
2
4
.
2
,
4
8
.
5
7
left parenthesis, negative 24 , 48.0 3 , right parenthesis
−
2
4
,
4
8
.
0
3
left parenthesis, negative 23.8 , 47.5 , right parenthesis
−
2
3
.
8
,
4
7
.
5
left parenthesis, negative 23.6 , 46.9 6 , right parenthesis
−
2
3
.
6
,
4
6
.
9
6
left parenthesis, negative 23.4 , 46.4 3 , right parenthesis
−
2
3
.
4
,
4
6
.
4
3
left parenthesis, negative 23.2 , 45.8 9 , right parenthesis
−
2
3
.
2
,
4
5
.
8
9
left parenthesis, negative 23 , 45.3 6 , right parenthesis
−
2
3
,
4
5
.
3
6
left parenthesis, negative 22.8 , 44.8 2 , right parenthesis
−
2
2
.
8
,
4
4
.
8
2
left parenthesis, negative 22.6 , 44.2 9 , right parenthesis
−
2
2
.
6
,
4
4
.
2
9
left parenthesis, negative 22.4 , 43.7 6 , right parenthesis
−
2
2
.
4
,
4
3
.
7
6
left parenthesis, negative 22.2 , 43.2 3 , right parenthesis
−
2
2
.
2
,
4
3
.
2
3
251 element list
18
Punkter
Punkter
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19
23
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Start black, left parenthesis, "F" Subscript, 1 , Baseline ; "F" Subscript, 2 , Baseline , right parenthesis End black
F
1
;
F
2
"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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