24
QuizMultiple Choice

Graphing Logarithmic Functions — Quiz

Question 24 • Algebraic Reasoning

The function y is equal to the log of x is translated 1 unit right and 2 units down. Which is the graph of the translated function?

Answer
A
Image with description On a coordinate plane, the x-axis lists negative 4 to 10 by 1, and the y-axis lists negative 7 to 7 by 1. The graph has a curve that originates from (1 comma negative 4), moves up, and goes through (2 comma negative 2) and (9 comma negative 1).
B
Image with description On a coordinate plane, the x-axis lists negative 4 to 10 by 1, and the y-axis lists negative 7 to 7 by 1. The graph has a curve that originates from (negative 1 comma negative 5), moves up, intersects the y-axis at (0 comma negative 2), and goes through (6 comma 0).
C
Image with description On a coordinate plane, the x-axis lists negative 4 to 10 by 1, and the y-axis lists negative 7 to 7 by 1. The graph has a curve that originates from (negative 1 comma negative 1), moves up, and intersects the x-axis at (negative 1 comma 0). It further moves up, intersects the y-axis at (0 comma 2), and goes through (8 comma 4).
D
Image with description On a coordinate plane, the x-axis lists negative 3 to 11 by 1, and the y-axis lists negative 5 to 9 by 1. The graph has a curve that originates from (1 comma negative 2 point 8), moves up, and intersects the x-axis at (1 comma 0). It goes to the right and passes through (2 comma 2) and (8 comma 4).