Question

determine a series of transformations that would map figure j onto figure k. press \try\ to test a transformation or sequence of transformations.

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 Figure \(J\) vertically.

Step2: Translate 6 units to the right

When a point \((x,y)\) is translated \(h\) units to the right, the transformation rule is \((x,y)\to(x + h,y)\). Here \(h = 6\), so after reflection, applying this translation will move the figure to the position of Figure \(K\).

Answer:

First, reflect Figure \(J\) over the \(x\) - axis, and then translate the resulting figure 6 units to the right.