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)

Answer 1

To represent the translation of the point (2, -5) to (2, -6) in a function, we can define a function that takes a point \((x, y)\) and translates it by a specific vector.

In this case, the translation is downward by 1 unit, which affects the y-coordinate. The x-coordinate remains the same. Therefore, we can write the translation function as follows:

\[
f(x, y) = (x, y - 1)
\]

Using this function:

- When we input the original point (2, -5) into the function:
\[
f(2, -5) = (2, -5 - 1) = (2, -6)
\]

This confirms that the function correctly translates the point (2, -5) to (2, -6).

Thus, the appropriate function for this translation is:

\[
f(x, y) = (x, y - 1)
\]