Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a point is translated on the coordinate plane from (4, -1) to (4, 2). j…

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) o 3 o -5 o 0 o -3

Explanation:

Step1: Identify initial and final y - values

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

Step2: Use the translation formula

The translation formula is $y_2=y_1 + k$. Substitute $y_1=-1$ and $y_2 = 2$ into it: $2=-1 + k$.

Step3: Solve for k

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

Answer:

A. 3