Write the equation of the graph in its final position.
-The graph of y = ln(x) is translated 2 units to the right, reflected in the x-axis, and then translated 7 units downward.
A) y = ln(-x + 7) - 7
B) y = ln(x - 2) + 7
C) y = -ln(x - 2) - 7
D) y = ln(x + 2) + 7

Question

Quizplus · Accepted Answer

The correct transformations applied to $y = \ln(x)$ are: translated 2 units to the right (which results in $y = \ln(x - 2)$), reflected in the x-axis (which changes the sign in front of the function, resulting in $y = -\ln(x - 2)$), and then translated 7 units downward (which adds $-7$ to the function, resulting in $y = -\ln(x - 2) - 7$).

Write the Equation of the Graph in Its Final Position