Question

Question

A point is translated on the coordinate plane from
(4,−1) to (4,2)
Journey writes the function g(y)=y+k

to describe the translation. What is the value of k?(1 point)
Responses

−3
3

−5

0

Answer 1

To find the value of \( k \) in the function \( g(y) = y + k \) that describes the translation from the point (4, -1) to (4, 2), we can analyze the change in the \( y \)-coordinate.

1. The original \( y \)-coordinate is \( -1 \).
2. The new \( y \)-coordinate after the translation is \( 2 \).

We need to determine how much we need to add to the original \( y \)-coordinate to reach the new \( y \)-coordinate:

\[ 2 = -1 + k \]

To find \( k \), we solve the equation:

\[ k = 2 + 1 \] \[ k = 3 \]

So, the value of \( k \) is \( 3 \).

Thus, the answer is \( 3 \).