Question

determine a series of transformations that would map figure r onto figure s.

Explanation:

Step1: Reflect over the x - axis

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

Step2: Translate 7 units up

The translation rule for moving a point \((x,y)\) \(7\) units up is \((x,y)\to(x,y + 7)\).

Step3: Translate 1 unit right

The translation rule for moving a point \((x,y)\) \(1\) unit right is \((x,y)\to(x+1,y)\)

Answer:

Reflect Figure \(R\) over the \(x\) - axis, then translate it \(7\) units up and \(1\) unit right.