9
QuizMultiple Choice

Exponential Functions — Test

Question 9 • Mathematics I

The graph of g of x is the result of translating the graph of f of x is equal to 3 to the x th power six units to the right. What is the equation of g of x ?

Answer
A
g of x is equal to 3 to the x th power plus 6
B
g of x is equal to 3 raised to the x minus 6 power
C
g of x is equal to 3 raised to the x plus 6 power
D
g of x is equal to 3 to the x th power minus 6

Explanation

A horizontal translation 6 units to the right is made by replacing x with x − 6 in the function. Starting with f(x) = 3^x, this gives g(x) = 3^(x − 6). Therefore, the correct choice is B, g(x) = 3 raised to the x minus 6 power.

AI-written and checked against the verified answer.

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