Question
A point is translated on the coordinate plane from (4,−1) to (6,−1) .Which function shows this translation?(1 point)Responsesf(x)=xf left parenthesis x right parenthesis equals xf(x)=x−2f left parenthesis x right parenthesis equals x minus 2f(x)=x+2f left parenthesis x right parenthesis equals x plus 2f(x)=x+5
Answers
GPT-4o mini
To determine the function that describes the translation of the point from \( (4, -1) \) to \( (6, -1) \), we need to analyze the change in the x-coordinate.
The original x-coordinate is 4, and after translation, the x-coordinate is 6. The change can be calculated as follows:
\[
6 - 4 = 2
\]
This means that the point is translated 2 units to the right along the x-axis.
In terms of a function, if we denote the original x-coordinate as \( x \), the new x-coordinate after this translation can be represented by:
\[
f(x) = x + 2
\]
So, the function that shows this translation is:
\[
f(x) = x + 2
\]
Thus, the correct response is:
**f(x) = x + 2**.
The original x-coordinate is 4, and after translation, the x-coordinate is 6. The change can be calculated as follows:
\[
6 - 4 = 2
\]
This means that the point is translated 2 units to the right along the x-axis.
In terms of a function, if we denote the original x-coordinate as \( x \), the new x-coordinate after this translation can be represented by:
\[
f(x) = x + 2
\]
So, the function that shows this translation is:
\[
f(x) = x + 2
\]
Thus, the correct response is:
**f(x) = x + 2**.