Question

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

Explanation:

Step1: Identify coordinates of Q

Point $Q$ is at $(-4, 4)$

Step2: Apply translation to x-coordinate

$x_{\text{new}} = -4 + 1 = -3$

Step3: Apply translation to y-coordinate

$y_{\text{new}} = 4 + 2 = 6$

Answer:

The image of point $Q$ is at $(-3, 6)$ (plot this point on the grid: 3 units left of the y-axis, 6 units above the x-axis)