Question

determine a series of transformations that would map figure b onto figure c.
press \try\ to test a transformation or sequence of transformations.
a reflection over the y - axis followed by a translation unit(s).

Explanation:

Step1: Reflect over y - axis

First, we perform a reflection of Figure B over the y - axis. The rule for reflection over the y - axis is \((x,y)\to(-x,y)\). After this reflection, we will adjust the position of the reflected figure to match Figure C.

Step2: Translate down

After reflecting Figure B over the y - axis, we need to translate the resulting figure down. Let's check the vertical distance between the reflected figure (after y - axis reflection) and Figure C. By looking at the y - coordinates of corresponding vertices, we can see that we need to translate down by 4 units. The translation rule for moving down by \(k\) units is \((x,y)\to(x,y - k)\), here \(k = 4\).

Answer:

A reflection over the y - axis followed by a translation down 4 unit(s).