AnswersCA-Algebra I A – 6002Translations of Exponential Functions

Translations of Exponential Functions Answers

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Which translation transformed the parent function, f(x), to g(x)?

A
a translation right 2 units
B
a translation left 2 units
C
a translation up 2 units
D
a translation down 2 units
5

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14

Which statements about the functions are true? Check all that apply.

A
f(x) =
Option A
B
g(x) = – 2
Option B
C
The ranges of both functions are the same.
D
The domains of both functions are the same.
E
The translation from f(x) to g(x) is right 4 units and down 2 units.
15

If f(x) = 4x, which statements are true of g(x)? Select two options.

A
g(x) = 4(x - 1)
B
g(x) = 4x - 1
C
The graph is translated left 1 unit.
D
The graph is translated down 1 unit.
E
The graph is translated both horizontally and vertically.
F
The domain and range of g(x) is the same as the domain and range of f(x).
17

The parent function f(x) = 1.5x is translated such that the function g(x) = 1.5x + 1 + 2 represents the new function. Which is the graph of g(x)?

A
[Image: On a coordinate plane, an exponential function inc...]
B
[Image: On a coordinate plane, an exponential function inc...]
C
[Image: On a coordinate plane, an exponential function inc...]
D
[Image: On a coordinate plane, an exponential function inc...]
18

The function f(x) = 2x is translated left 3 units and down 2 units. Which is the equation of the translated function?

A
g(x) = 2x –3 – 2
B
g(x) = 2x – 2 – 3
C
g(x) = 2x – 2 + 3
D
g(x) = 2x + 3 – 2
21

What can be concluded about the relationship between the two functions? Check all that apply.

A
The functions have the same base.
B
The functions have the same range.
C
The functions have the same exponent.
D
The functions have the same domain.
E
g(x) is a translation left 1 unit.
F
g(x) is a translation right 2 units.
G
g(x) is a translation up 2 units.

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