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Wize Grade 11 Mathematics Textbook > Exponential Functions (Content Coming Soon)
Transformations of Exponential Functions
Exponential Functions
Previous Section
Primary Trig Ratios
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Extra Practice
Extra Practice
Exponential Functions: Transformations
Match the function to the correct graph.
Transformations of Exponential Functions
Practice: Transformations of Exponential Functions
Sketch a graph of
y
=
−
(
3
2
)
x
+
3
y=-\Bigg(\dfrac{3}{2}\Bigg)^{x}+3
y
=
−
(
2
3
)
x
+
3
. Identify the domain, range, and horizontal asymptote.
Transformations of Exponential Functions
Practice: Transformations of Exponential Functions
Sketch a graph of
y
=
5
3
(
1
2
)
x
−
3
−
1
y=\dfrac{5}{3}\Bigg(\dfrac{1}{2}\Bigg)^{x-3}-1
y
=
3
5
(
2
1
)
x
−
3
−
1
. Identify the domain, range, and horizontal asymptote.
Transformations of Exponential Functions
Practice: Transformations of Exponential Functions
The point
(
5
,
−
8
)
(5,-8)
(
5
,
−
8
)
is on the graph
y
=
b
x
y=b^x
y
=
b
x
. What point must be on the graph of
y
=
3
2
(
b
)
4
x
+
6
y=\dfrac{3}{2}(b)^{4x+6}
y
=
2
3
(
b
)
4
x
+
6
?
Transformations of Exponential Functions
Practice: Transformations of Exponential Functions
The point
(
−
3
,
4
)
(-3,4)
(
−
3
,
4
)
is on the graph
y
=
b
x
y=b^x
y
=
b
x
. What point must be on the graph of
y
=
−
3
(
1
b
)
2
x
+
4
+
2
y=-3\Bigg(\dfrac{1}{b}\Bigg)^{2x+4}+2
y
=
−
3
(
b
1
)
2
x
+
4
+
2
?
Transformations of Exponential Functions
Practice: Transformations of Exponential Functions
Which of the following is a graph of
y
=
−
2
(
1
2
)
x
y=-2\Bigg(\dfrac{1}{2}\Bigg)^{x}
y
=
−
2
(
2
1
)
x
.
Transformations of Exponential Functions
Practice: Transformations of Exponential Functions
Which of the following is a graph of
y
=
2
3
(
3
)
x
y=\dfrac{2}{3}(3)^{x}
y
=
3
2
(
3
)
x
.