Question

practice identifying translations on a plane. the translation shown in the graph moves the figure to the right. what kind of translation is shown?

Explanation:

Step1: Analyze the graph's translation

Looking at the coordinates (assuming grid units), the figure moves horizontally (right) without vertical change. Let's check a point, say B: original B is at (-4,1), new B' is at (1,1). The horizontal change is \(1 - (-4)=5\) units right, vertical change \(1 - 1 = 0\). So it's a horizontal translation (since vertical shift is 0, only horizontal movement right).

Step2: Identify the translation type

A translation that moves along the x - axis (horizontal) with no vertical movement is a horizontal translation. Since it's moving right, we can also calculate the vector or just note the direction and axis. The key is that the y - coordinate of corresponding points (like A, A'; B, B'; C, C') remains the same, so it's a horizontal translation (specifically, a translation 5 units to the right, but the type is horizontal translation as it's along the horizontal axis).

Answer:

Horizontal translation (or more precisely, a translation 5 units to the right, but the type is horizontal translation as it moves along the x - axis with no vertical shift)