Question

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

Answer 1

See the graph below

Explanation:

We need to remember the following rules:

$For \ any \ function \ f(x) \ we have: \\ \\ \\ \bullet \ g(x)=f(x-k) \ Translation \ k \ units \ to \ the \ right \\ \\ \bullet \ g(x)=f(x+k) \ Translation \ k \ units \ to \ the \ left \\ \\ \bullet \ g(x)=f(x)+c \ Translation \ c \ units \ up \\ \\ \bullet \ g(x)=f(x)-c \ Translation \ c \ units \ down \\ \\ With \ c>0 \ and \ k>0$

Here we know that The function y = log (x) is translated 1 unit right and 2 units down, so:

$k=1 \\ \\ c=2 \\ \\ \\ Finally: \\ \\ g(x)=log(x-1)-2$

Below you can see the graph. The red one is the original function while the blue one is the translated one.

Learn more:

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

Answer 2

Answer:

The answer is B on ed.

Step-by-step explanation:

i took the test i got 100%