Question

plot the image of point q under the translation $(x,y)\to(x + 1,y + 2).$

Explanation:

Step1: Determine the coordinates of point \( Q \)

From the graph, the coordinates of point \( Q \) are \( (-4,4) \).

Step2: Apply the translation rule

The translation rule is \( (x,y)\to(x + 1,y + 2) \).
For \( x=-4 \), \( x+1=-4 + 1=-3 \).
For \( y = 4 \), \( y+2=4 + 2=6 \).

Answer:

The image of point \( Q(-4,4) \) under the translation is \( (-3,6) \). Plot the point \( (-3,6) \) on the coordinate - plane.