Question

what is the correct list of transformations to go from the pre - image triangle to the final image triangle? o r_x axis and then t_(x + 4,y+1) o t_(x - 4,y - 1) and then r_x axis o r_y axis and then t_(x + 7,y+1) o r_y axis and then t_(x + 4,y+3)

Explanation:

Step1: Observe the orientation change

The pre - image triangle is reflected across the y - axis as the x - coordinates of the vertices change sign.

Step2: Observe the position change

After reflection, the triangle is translated 8 units to the right and 2 units up. The general form of a translation is \(T_{(x + a,y + b)}\), here \(a = 8\) and \(b=2\).

Answer:

\(r_{y - axis}\) and then \(T_{(x + 8,y + 2)}\)