AnswersVT-GA-EOC-Algebra IReflections 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
2
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Question text not available

Answer:

6

77596

Consider the functions f(x) = and g(x) = + 6. What are the ranges of the two functions?

Answers:
y| y:0
y| y:6
77597

g(x): {y| y > [___]}

Answer:

6

77598

The function f(x) = is translated up 4 units. Which equation represents the translated function?

Question illustration
A
g(x) =
Option A
B
g(x) =
Option B
C
g(x) = + 4
Option C
D
g(x) = – 4
Option D
77599

Consider the functions f(x) = and g(x) = + 6. What are the ranges of the two functions?

Answers:
Blank 1:0
Blank 2:6
77600

Consider the functions f(x) = and g(x) = + 6. What are the ranges of the two functions?

Answers:
Blank 1:77596
Blank 2:77597
77601

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.
77602

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).
77603

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
77604

Mrs. Varner deposited q dollars in a bank account that has been earning annual interest. The total value of the account is based on the function f(x) = q • 1.025x, where x represents the number of years the money has been in the account. If no deposits or withdrawals are made after the initial deposit, which equation represents the total value of the account 5 years from now?

A
f(x) = q • 1.025x + 5
B
f(x) = q • 1.025x + 5
C
f(x) = q • 1.025x – 5
D
f(x) = q • 1.025x – 5
77605

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.
77606

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
77607

The function f(x) = (one-fifth) Superscript x is translated up 4 units. Which equation represents the translated function?

Question illustration
A
g(x) =
Option A
B
g(x) =
Option B
C
g(x) = + 4
Option C
D
g(x) = – 4
Option D
77608

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.
77609

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).
77610

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
77611

Mrs. Varner deposited q dollars in a bank account that has been earning annual interest. The total value of the account is based on the function f(x) = q • 1.025x, where x represents the number of years the money has been in the account. If no deposits or withdrawals are made after the initial deposit, which equation represents the total value of the account 5 years from now?

A
f(x) = q • 1.025x + 5
B
f(x) = q • 1.025x + 5
C
f(x) = q • 1.025x – 5
D
f(x) = q • 1.025x – 5
77612

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.
77613

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

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