Question

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

Explanation:

Step1: Find the coordinates of point Q

From the graph, the coordinates of point Q are \((3,-1)\).

Step2: Apply the translation rule

The translation rule is \((x,y)\to(x - 3,y + 4)\).
For \(x\)-coordinate: \(3-3=0\).
For \(y\)-coordinate: \(-1 + 4=3\).

Answer:

The image of point Q under the given translation has coordinates \((0,3)\).