Question

figure t is the result of a transformation on figure s. which transformation would accomplish this? answer a translation 6 units to the left. a reflection over the y -axis a reflection over the x -axis a translation 6 units to the right.

Explanation:

Step1: Observe coordinate - change pattern

For a point \((x,y)\) in Figure \(S\), its corresponding point in Figure \(T\) has coordinates \((-x,y)\).

Step2: Recall transformation rules

The rule for reflection over the \(y\) - axis is \((x,y)\to(-x,y)\). A translation \(a\) units to the left has the rule \((x,y)\to(x - a,y)\), a translation \(a\) units to the right has the rule \((x,y)\to(x + a,y)\), and a reflection over the \(x\) - axis has the rule \((x,y)\to(x,-y)\).

Answer:

A reflection over the \(y\) - axis