Question

if a translation of $t_{-3, -8}(x, y)$ is applied to square abcd, what is the y - coordinate of b? -8 -6 -2 -12

Explanation:

Step1: Identify original y - coordinate of B

From the graph, the coordinates of point B are (2, 2), so the original y - coordinate of B is 2.

Step2: Apply the translation rule for y - coordinate

The translation rule is \(T_{-3,-8}(x,y)=(x - 3,y - 8)\). We are interested in the y - coordinate. So we calculate \(y'=y - 8\). Substitute \(y = 2\) into the formula: \(y'=2-8=-6\).

Answer:

-6