Question

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

Explanation:

Step1: Determine coordinates of Q

The point Q has coordinates $(- 3,4)$.

Step2: Apply x - translation

For the x - coordinate, use the rule $x\to x + 1$. Substitute $x=-3$ into it: $-3 + 1=-2$.

Step3: Apply y - translation

For the y - coordinate, use the rule $y\to y + 2$. Substitute $y = 4$ into it: $4+2 = 6$.

Step4: Identify the image point

The image of point Q under the given translation has coordinates $(-2,6)$.

Answer:

The image of point Q has coordinates $(-2,6)$ and should be plotted at the intersection of the vertical line $x = - 2$ and the horizontal line $y = 6$ on the coordinate - plane.