Question

write the coordinates of the vertices after a translation 4 units left.

Explanation:

Step1: Recall the translation rule

For a translation \(a\) units left, the rule is \((x,y)\to(x - a,y)\). Here \(a = 4\).

Step2: Find the original coordinates of \(S\)

From the graph, the coordinates of \(S\) are \((2,0)\).

Step3: Apply the translation rule

Using the rule \((x,y)\to(x - 4,y)\), substitute \(x = 2\) and \(y=0\). So \(x-4=2 - 4=-2\), \(y = 0\).

Answer:

\(S'(-2,0)\)