Question

1. the translation ( t_{(4,-5)}(\triangle mnp) ) indicates a transformation that moves every point of the preimage, ( \triangle mnp ), right 4 units, and units to form the image, ( \triangle mnp ). ( t_{(4,-5)}(\triangle mnp) )

Explanation:

Step1: Analyze the translation rule

In a translation \(T_{(a,b)}\), \(a\) represents the horizontal movement (right if \(a>0\), left if \(a < 0\)) and \(b\) represents the vertical movement (up if \(b>0\), down if \(b<0\)). Here \(a = 4\) (right 4 units) and \(b=-5\).

Step2: Determine the vertical movement

Since \(b=-5\), the vertical movement is down 5 units.

Answer:

down \(5\)