Question

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

Explanation:

Step1: Identify coordinates of Q

The coordinates of point Q are $(3, - 1)$.

Step2: Apply x - translation

The x - coordinate of the new point is $x'=x - 3$. Substituting $x = 3$, we get $x'=3-3 = 0$.

Step3: Apply y - translation

The y - coordinate of the new point is $y'=y + 4$. Substituting $y=-1$, we get $y'=-1 + 4=3$.

Answer:

The image of point Q under the given translation has coordinates $(0,3)$. To plot it, start at the origin $(0,0)$ and move 0 units horizontally and 3 units vertically up on the coordinate - plane.