Question

1. what change in coordinates occurs to a point $(x,y)$ under translation t, where $t_{-4,2}$? $(x + 4,y + 2)$ $(x - 4,y + 2)$ $(x + 4,y - 2)$ $(x - 4,y - 2)$

Explanation:

Step1: Recall the rule for translation

The translation \(T_{a,b}\) moves a point \((x,y)\) to \((x + a,y + b)\).

Step2: Apply the values of \(a\) and \(b\)

Here \(a=-4\) and \(b = 2\). Substituting into the formula \((x + a,y + b)\), we get \((x+(-4),y + 2)=(x - 4,y + 2)\).

Answer:

\((x - 4,y + 2)\) (the second option)