Question

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

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 Figure \(Q\) vertically.

Step2: Translate 6 units up

The translation rule for moving a point \((x,y)\) \(6\) units up is \((x,y)\to(x,y + 6)\).

Answer:

First, reflect Figure \(Q\) over the \(x\) - axis. Then, translate the resulting figure \(6\) units up.