Question

A point is translated on the coordinate plane from (-7, 5) to (-7, -1). How should Johnny write the function to describe the vertical translation? (1 point)
Responses

f(x) = x - 6
f(x) = x - 6

g(y) = y - 6
g(y) = y - 6

f(x) = x +0
f(x) = x +0

g(y) = y + 6

Answer 1

To describe the vertical translation from the point (-7, 5) to (-7, -1), we need to determine how the y-coordinate changes.

The translation from 5 to -1 represents a downward movement. The change in the y-coordinate can be calculated as follows:

\[-1 - 5 = -6\]

This indicates that the point is translated vertically downward by 6 units.

Thus, if we want to express this vertical translation as a function of the y-coordinate, it would involve subtracting 6 from the original y-coordinate:

\[g(y) = y - 6\]

So the correct response is:

**g(y) = y - 6**