Question

notah draws figure x in the coordinate plane. then he performs a sequence of transformations on figure x to form figure y. a. what sequence of transformations could notah have performed to map figure x onto figure y? b. what is another sequence of transformations notah could have performed to map figure x onto figure y?

Explanation:

Step1: Analyze the position of figures

Figure X is in the fourth - quadrant and figure Y is in the second - quadrant.

Step2: Determine the first transformation

A reflection across the y - axis will move figure X from the fourth - quadrant to the third - quadrant. The rule for a reflection across the y - axis is $(x,y)\to(-x,y)$.

Step3: Determine the second transformation

A translation of 1 unit up will move the figure from the third - quadrant to the second - quadrant. The rule for a translation 1 unit up is $(x,y)\to(x,y + 1)$.

Answer:

a. A reflection across the y - axis followed by a translation 1 unit up.
b. Another possible sequence could be a translation 1 unit up first followed by a reflection across the y - axis.