Question

square qrst has vertices, q(-3, 3), r(2, 3), s(2, -2), and t(-3, -2). square qrst is translated 3 units left and 2 units up to produce square qrst. which coordinates describe the vertices of the image? q(0, 5), r(5, 5), s(5, 0), and t(0, 0) q(-6, 5), r(-1, 5), s(-1, 0), and t(-6, 0) q(-1, 5), r(4, 6), s(4, 1), and t(-1, 1) q(-1, 0), r(4, 0), s(4, -5), and t(-1, -5)

Explanation:

Step1: Recall translation rule

For a translation 3 units left and 2 units up, the rule for a point $(x,y)$ is $(x - 3,y + 2)$.

Step2: Translate point Q

For $Q(-3,3)$, using the rule: $x=-3,y = 3$, then $x'=-3-3=-6,y'=3 + 2=5$, so $Q'(-6,5)$.

Step3: Translate point R

For $R(2,3)$, $x = 2,y=3$, then $x'=2-3=-1,y'=3 + 2=5$, so $R'(-1,5)$.

Step4: Translate point S

For $S(2,-2)$, $x = 2,y=-2$, then $x'=2-3=-1,y'=-2 + 2=0$, so $S'(-1,0)$.

Step5: Translate point T

For $T(-3,-2)$, $x=-3,y=-2$, then $x'=-3-3=-6,y'=-2 + 2=0$, so $T'(-6,0)$.

Answer:

B. $Q'(-6,5),R'(-1,5),S'(-1,0),T'(-6,0)$