Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

(x,y) -> (x,y - 7)

Question

(x,y) -> (x,y - 7)

Explanation:

Step1: Analyze the transformation rule

The transformation rule is \((x,y)\to(x,y - 7)\). This means that for any point \((x,y)\) in the original figure, the \(x\) - coordinate remains the same and the \(y\) - coordinate is decreased by 7.

Step2: Check the vertical movement

In a coordinate - plane, a change in the \(y\) - coordinate represents a vertical movement. When \(y\) is decreased, the point moves downwards. Since the value of \(y\) is decreased by 7 for each point, the figure is translated 7 units down.

Answer:

The transformation is a translation 7 units down.