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

g(y)=y+1
g left parenthesis y right parenthesis equals y plus 1

g(y)=y
g left parenthesis y right parenthesis equals y

f(x)=x−1

help

Answer 1

To translate a point on the coordinate plane from \((2, -5)\) to \((2, -6)\), we only need to change the \(y\)-coordinate.

The transition is from \(-5\) to \(-6\), which means the \(y\)-coordinate decreases by \(1\). Therefore, the translation can be represented by the function:

\[
g(y) = y - 1
\]

This function takes the current \(y\)-value and subtracts \(1\) from it, effectively moving downwards by \(1\) unit on the coordinate plane.

So, the correct function showing the appropriate translation is:

**g(y) = y - 1**.