Translations of Exponential Functions

Question 1

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

Revolt · Accepted Answer

A: a translation right 2 units

Question 2

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

Revolt · Accepted Answer

C: g(x) = + 4

Question 3

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

Revolt · Accepted Answer

: 0; : 6

Question 4

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

Revolt · Accepted Answer

: 77596; : 77597

Question 5

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

Revolt · Accepted Answer

A: f(x) =; 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.

Question 6

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

Revolt · Accepted Answer

B: g(x) = 4x - 1; D: The graph is translated down 1 unit.

Question 7

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

Revolt · Accepted Answer

D: g(x) = 2x + 3 – 2

Question 8

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?

Revolt · Accepted Answer

B: f(x) = q • 1.025x + 5

Question 9

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

Revolt · Accepted Answer

A: The functions have the same base.; B: The functions have the same range.; D: The functions have the same domain.; E: g(x) is a translation left 1 unit.

Question 10

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

Revolt · Accepted Answer

A: a translation right 2 units

Translations of Exponential Functions Answers

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