Question

The equation of a parent logarithmic function is f(x)=log3 x.


After a transformation, the equation became f(x)=log3 x+4.


Describe the transformation.

(2 points)
Responses

The function was shifted 4
units right
The function was shifted 4 units right

The function was shifted 4
units left
The function was shifted 4 units left

The function was shifted 4
units up
The function was shifted 4 units up

The function was shifted 4
units down

Answer 1

The transformation from the parent logarithmic function \( f(x) = \log_3 x \) to \( f(x) = \log_3 x + 4 \) indicates that the function has been shifted vertically.

Specifically, adding 4 to the function shifts it **4 units up**.

So the correct response is:

**The function was shifted 4 units up.**