Question

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

Explanation:

Step1: Determine original y - coordinate of B

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

Step2: Apply the y - component of the translation

The translation is \(T_{- 3,-8}(x,y)\), which means a translation of 3 units to the left and 8 units down. The y - component of the translation is - 8.
We use the formula \(y'=y + k\), where \(y\) is the original y - coordinate, \(k\) is the y - component of the translation. Substitute \(y = 2\) and \(k=-8\) into the formula: \(y'=2+( - 8)\).

Step3: Calculate the new y - coordinate

\(y'=2-8=-6\)

Answer:

• 6