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: Determine original coordinates of B

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

Step2: Apply the translation rule

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

Answer:

$(3, - 12)$