Question

what does this transformation say to do?
$(x,y)\
ightarrow(x,y + 4)$

Explanation:

Step1: Analyze the transformation rule

The transformation is given as \((x,y)\to(x,y + 4)\). In coordinate - plane transformations, for a point \((x,y)\), when we have a transformation of the form \((x,y)\to(x,y + k)\) (where \(k\) is a constant), it affects the \(y\) - coordinate.

Step2: Determine the direction of the transformation

Since the \(x\) - coordinate remains the same (\(x\to x\)) and the \(y\) - coordinate changes as \(y\to y + 4\). In the Cartesian coordinate system, an increase in the \(y\) - coordinate means a vertical movement. When \(y\) values increase, the point moves upwards.

Answer:

The transformation \((x,y)\to(x,y + 4)\) means that the figure is slid up by 4 units.