A point is translated on the coordinate plane (4-1) to (4,2). journey writes the function g(y)=y+k to describe the translation what is the value of k

Answer 1

To describe the translation from the point \((4, -1)\) to \((4, 2)\) using the function \(g(y) = y + k\), we need to determine the value of \(k\).

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

We set up the equation as follows:

\[ g(-1) = -1 + k = 2 \]

Now, we solve for \(k\):

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

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