Question

maintain accuracy yolanda reflects an object in the line ( y = - 1 ). then she reflects it in the line ( y = 1 ). describe the translation.
( (x + y)
ightarrow(quad,quad) )

Explanation:

Step1: Reflect over \(y = - 1\)

Let a point \((x,y)\) be reflected over the line \(y=-1\). The formula for reflection over the line \(y = k\) is \((x,2k - y)\). Here \(k=-1\), so the image is \((x,-2 - y)\).

Step2: Reflect the result over \(y = 1\)

Now reflect \((x,-2 - y)\) over the line \(y = 1\). Using the formula \((x,2k - y)\) with \(k = 1\), we get \((x,2\times1-(-2 - y))=(x,4 + y)\).

Answer:

\((x,y)\to(x,y + 4)\)