Question
A point is translated on the coordinate plane from (4,−1) to (6,−1) .Which function shows this translation?
A. f (x)=x+2
B. f (x)=x+5
C. f (x)=x−2
D. f (x)=x
A. f (x)=x+2
B. f (x)=x+5
C. f (x)=x−2
D. f (x)=x
Answers
GPT-4o mini
To find the function that describes the translation of the point from (4, -1) to (6, -1), we need to focus on the x-coordinate, since the y-coordinate remains the same.
The x-coordinate changes from 4 to 6. This change can be described mathematically as follows:
- The transformation can be seen as translating the x-coordinate by adding 2. In other words:
\[ x' = x + 2 \]
where \( x \) is the original x-coordinate and \( x' \) is the new x-coordinate.
So, the correct function that represents this translation is:
\[ f(x) = x + 2 \]
Therefore, the answer is:
**A. f(x) = x + 2**
The x-coordinate changes from 4 to 6. This change can be described mathematically as follows:
- The transformation can be seen as translating the x-coordinate by adding 2. In other words:
\[ x' = x + 2 \]
where \( x \) is the original x-coordinate and \( x' \) is the new x-coordinate.
So, the correct function that represents this translation is:
\[ f(x) = x + 2 \]
Therefore, the answer is:
**A. f(x) = x + 2**