Question
A point is translated on the coordinate plane from (2,−5)
to (2,−6)
. Create a function to show this translation. Which function shows the appropriate translation?(1 point)
Responses
g(y)=y−1
g left parenthesis y right parenthesis equals y minus 1
f(x)=x−1
f left parenthesis x right parenthesis equals x minus 1
g(y)=y+1
g left parenthesis y right parenthesis equals y plus 1
g(y)=y
to (2,−6)
. Create a function to show this translation. Which function shows the appropriate translation?(1 point)
Responses
g(y)=y−1
g left parenthesis y right parenthesis equals y minus 1
f(x)=x−1
f left parenthesis x right parenthesis equals x minus 1
g(y)=y+1
g left parenthesis y right parenthesis equals y plus 1
g(y)=y
Answers
GPT-4o mini
To translate the point \((2, -5)\) to \((2, -6)\) on the coordinate plane, we need to adjust the y-coordinate by subtracting 1. This means that we are moving downwards by 1 unit.
The appropriate function for this translation can be defined as follows:
Let \(g(y)\) be the function that represents the translation of the y-coordinate. The transformation can be expressed as:
\[
g(y) = y - 1
\]
This means that for any original y-coordinate \(y\), the new y-coordinate after the translation will be \(g(y)\).
Thus, the correct function that shows the appropriate translation is:
\[
g(y) = y - 1
\]
So the response is:
**g(y) = y - 1**.
The appropriate function for this translation can be defined as follows:
Let \(g(y)\) be the function that represents the translation of the y-coordinate. The transformation can be expressed as:
\[
g(y) = y - 1
\]
This means that for any original y-coordinate \(y\), the new y-coordinate after the translation will be \(g(y)\).
Thus, the correct function that shows the appropriate translation is:
\[
g(y) = y - 1
\]
So the response is:
**g(y) = y - 1**.