Question

A point is translated on the coordinate plane from (4,-8) to (4,-6). Create a function to show this translation. Which function shows the appropriate translation?(1 point)
Responses

g(y)= y+ 2
g(y)= y+ 2

g(y)= y
g(y)= y

f(x)= x+ 2
f(x)= x+ 2

g(y)= y- 2

Answer 1

To translate the point from (4, -8) to (4, -6), we need to observe that the x-coordinate remains the same (4), while the y-coordinate changes from -8 to -6.

The change in the y-coordinate is:
\[
-6 - (-8) = -6 + 8 = 2
\]
This means that we are adding 2 to the y-coordinate.

We are looking for a function that represents this translation of the y-coordinate. The correct function should be of the form \( g(y) \) where:
\[
g(y) = y + 2
\]

Thus, the appropriate translation function is:
\[
g(y) = y + 2
\]

So the answer is:
**g(y) = y + 2**.