Question

(x, y) → (x - 2, y) which transformation is represented by the rule? dilation reflection translation rotation

Explanation:

Step1: Recall transformation types

Dilation changes size, reflection flips over a line, translation slides, rotation turns.

Step2: Analyze the rule \((x,y)\to(x - 2,y)\)

The \(x\)-coordinate decreases by 2 (horizontal shift left), \(y\)-coordinate stays same. This is a slide (translation). Dilation needs scaling factor, reflection needs axis, rotation needs angle—none here.

Answer:

TRANSLATION (the option labeled "TRANSLATION")