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Exponential function f(x) = ar^(bx-h)+k
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Expression 10: "y" equals "k"
y
=
k
equals
=
5
5
10
Expression 11: "m" equals "r" plus "k"
m
=
r
+
k
equals
=
7
7
11
`k = ${k}` left parenthesis, negative 10 , "k" , right parenthesis
−
1
0
,
k
Label:
equals
=
left parenthesis, negative 10 , 5 , right parenthesis
−
1
0
,
5
12
`h = ${h}` left parenthesis, "h" , negative 3 , right parenthesis
h
,
−
3
Label:
equals
=
left parenthesis, 0 , negative 3 , right parenthesis
0
,
−
3
13
Asymptote: `y = ${k}` left parenthesis, negative 20 , "k" plus 1 , right parenthesis
−
2
0
,
k
+
1
Label:
equals
=
left parenthesis, negative 20 , 6 , right parenthesis
−
2
0
,
6
14
`a = ${a}` left parenthesis, 15 , "a" , right parenthesis
1
5
,
a
Label:
equals
=
left parenthesis, 15 , 1 , right parenthesis
1
5
,
1
15
Label: left parenthesis, 0 , 1 , right parenthesis
0
,
1
Label:
16
Move to Reflect across y-axis: left parenthesis, "b" , negative 10 , right parenthesis
b
,
−
1
0
Label:
equals
=
left parenthesis, 1 , negative 10 , right parenthesis
1
,
−
1
0
17
`f(x)=2^x` left parenthesis, 7 , 9 , right parenthesis
7
,
9
Label:
18
`f(x)=${a}(${r}^{x-${h}})+${k}` left parenthesis, negative 10 , "k" plus 3 , right parenthesis
−
1
0
,
k
+
3
Label:
equals
=
left parenthesis, negative 10 , 8 , right parenthesis
−
1
0
,
8
19
Expression 20:
20
21
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"r" equals 2
r
=
2
left parenthesis, 0 , 6 , right parenthesis
0
,
6
"k" equals 5
k
=
5
"h" equals 0
h
=
0
Asymptote:
"y" equals 5
y
=
5
"a" equals 1
a
=
1
left parenthesis, 0 , 1 , right parenthesis
0
,
1
Move to Reflect across y-axis
"f" ( "x" ) equals 2 Superscript, "x" , Baseline
f
(
x
)
=
2
x
"f" ( "x" ) equals 1 ( 2 Superscript, "x" minus 0 , Baseline ) plus 5
f
(
x
)
=
1
(
2
x
−
0
)
+
5
"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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