Question

translate quadrilateral pqrs by using the rule (t_{-2,4}(x,y)). plot a point for each vertex.

Explanation:

Step1: Recall translation rule

The rule $T_{- 2,4}(x,y)=(x - 2,y + 4)$.

Step2: Translate point P

If $P(-1,5)$, then $P'=(-1-2,5 + 4)=(-3,9)$.

Step3: Translate point Q

If $Q(2,1)$, then $Q'=(2-2,1 + 4)=(0,5)$.

Step4: Translate point R

If $R(0,-3)$, then $R'=(0-2,-3 + 4)=(-2,1)$.

Step5: Translate point S

If $S(-4,2)$, then $S'=(-4-2,2 + 4)=(-6,6)$.

Answer:

Plot $P'(-3,9)$, $Q'(0,5)$, $R'(-2,1)$, $S'(-6,6)$ on the grid.