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)

3

0

-3

-5

Explanation:

Step1: Identify initial and final y - values

The initial y - value is $y_1=-1$ and the final y - value is $y_2 = 2$.

Step2: Use the translation function

The translation function is $g(y)=y + k$. Substitute the initial and final y - values: $y_2=y_1 + k$.

Step3: Solve for k

Substitute $y_1=-1$ and $y_2 = 2$ into $y_2=y_1 + k$, we get $2=-1 + k$. Then, solve for $k$ by adding 1 to both sides of the equation: $k=2+1=3$.

Answer:

A. 3