Question

plot the image of point p under a translation by 3 units to the right and 1 unit up.

Explanation:

Step1: Identify original coordinates

The point $P$ has coordinates $(4,2)$.

Step2: Apply horizontal translation

Add 3 to the $x$-coordinate. $4 + 3=7$.

Step3: Apply vertical translation

Add 1 to the $y$-coordinate. $2+ 1 = 3$.

Answer:

The image of point $P$ has coordinates $(7,3)$. Plot the point $(7,3)$ on the grid (7 units to the right of the $y$-axis and 3 units above the $x$-axis).