Question

determine a series of transformations that would map figure y onto figure z.

Explanation:

Step1: Analyze Reflection

Reflect Figure Y over the x - axis. The rule for reflecting a point \((x,y)\) over the x - axis is \((x,-y)\).

Step2: Analyze Translation

After reflection, translate the figure. Count the number of units moved horizontally and vertically. The figure needs to be translated 7 units to the right. The rule for translating a point \((x,y)\) 7 units to the right is \((x + 7,y)\).

Answer:

A reflection over the \(x -\)axis followed by a translation 7 units to the right.