Question

1. determine a series of transformations that would map figure t onto figure u.

Explanation:

Step1: Reflect over the x - axis

When we reflect a point \((x,y)\) over the \(x\) - axis, the transformation rule is \((x,y)\to(x, - y)\). This will flip the figure vertically.

Step2: Translate 2 units to the left

The translation rule for moving a point \((x,y)\) \(2\) units to the left is \((x,y)\to(x - 2,y)\).

Answer:

First, reflect Figure \(T\) over the \(x\) - axis. Then, translate the resulting figure \(2\) units to the left.