Question

determine a series of transformations that would map figure f onto figure g.

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 9 units left

The translation rule for moving a point \((x,y)\) \(9\) units to the left is \((x,y)\to(x - 9,y)\).

Answer:

First, reflect Figure \(F\) over the \(x\) - axis. Then, translate the resulting figure \(9\) units to the left.