Question

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

Explanation:

Step1: Reflect over the y - axis

When reflecting a point \((x,y)\) over the \(y\) - axis, the transformation rule is \((x,y)\to(-x,y)\). This will change the sign of the \(x\) - coordinate of each vertex of Figure \(F\).

Step2: Translate 10 units right

The translation rule for moving a point \((x,y)\) \(10\) units to the right is \((x,y)\to(x + 10,y)\). After reflection over the \(y\) - axis, adding \(10\) to the \(x\) - coordinate of each vertex will map the reflected figure onto Figure \(G\).

Answer:

Reflect Figure \(F\) over the \(y\) - axis and then translate the resulting figure \(10\) units to the right.