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)
-5
3
0
-3

Explanation:

Step1: Identify initial and final y - values

Initial y - value is $y_1=-1$, final y - value is $y_2 = 2$.

Step2: Substitute into translation function

We know that $g(y)=y + k$. Substituting $y_1$ into the function gives $y_2=y_1 + k$. So, $2=-1 + k$.

Step3: Solve for k

Add 1 to both sides of the equation $2=-1 + k$. We get $k=2 + 1=3$.

Answer:

3