Question

plot the image of point q under the translation ((x, y) \to (x - 3, y + 4)).

Explanation:

Step1: Identify coordinates of Q

Point $Q$ is at $(3, -1)$.

Step2: Apply translation to x-coordinate

Calculate new $x$: $3 - 3 = 0$

Step3: Apply translation to y-coordinate

Calculate new $y$: $-1 + 4 = 3$

Answer:

The image of point $Q$ is at $(0, 3)$ (plot this point on the grid at the intersection of $x=0$ and $y=3$).