Question

a translation is shown on the grid in which triangle a is the pre - image and triangle b is the image. which rule describes the x - coordinates in the translation?x + 0x + 4x + 6x - 6

Explanation:

Step1: Analyze the x - coordinate change

Let's take a vertex of triangle A. Suppose a vertex of triangle A has an x - coordinate \(x\). For the corresponding vertex of triangle B, we observe the horizontal shift.
If we consider the left - most vertex of triangle A (say with x - coordinate \(x = 1\)) and the left - most vertex of triangle B (with x - coordinate \(x=1\)). There is no horizontal change. The rule for the x - coordinate of a translation \((x,y)\to(x + a,y + b)\) where \(a\) is the horizontal change. Here \(a = 0\) since there is no left - right movement.

Answer:

\(x+0\)