Question

if a translation of $t_{2, - 7}(x,y)$ is applied to $\triangle abc$, what are the coordinates of b? (1, - 5) (- 4, - 10) (- 3, - 12) (3, - 12)

Explanation:

Step1: Identify original coordinates of B

From the graph, the coordinates of point B are $(1, - 5)$.

Step2: Apply the translation rule

The translation rule $T_{2,-7}(x,y)$ means we add 2 to the x - coordinate and subtract 7 from the y - coordinate. For point B with $x = 1$ and $y=-5$, the new x - coordinate is $x'=1 + 2=3$, and the new y - coordinate is $y'=-5-7=-12$.

Answer:

$(3, - 12)$