Question

if a translation of t₂, -7(x, y) is applied to △abc, what are the coordinates of b? (1, -5) (-4, -10) (-3, -12) (3, -12)

Explanation:

Step1: Identify the 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 add 2 to the x - coordinate and subtract 7 from the y - coordinate.
For the x - coordinate of B': $x'=1 + 2=3$.
For the y - coordinate of B': $y'=-5-7=-12$.

Answer:

$(3, - 12)$