Question

determine a series of transformations that would map figure a onto figure b.

Explanation:

Step1: Reflection over x - axis

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

Step2: Translation

After reflection, we need to translate the figure. The translation rule is \((x,y)\to(x + 9,y+10)\). This will move the reflected figure to the position of Figure \(B\).

Answer:

First, reflect Figure \(A\) over the \(x\) - axis, then translate the resulting figure \(9\) units to the right and \(10\) units up.