Question

if triangle abc is translated down 3 units and then reflected across the y - axis, what are the coordinates of point a? ( , ) done

Explanation:

Step1: Find coordinates of A

From the graph, the coordinates of point A are (-5, 1).

Step2: Translate point A down 3 units

The rule for translating a point (x, y) down k units is (x, y - k). Here k = 3, so for point A(-5, 1), the new - coordinates after translation are (-5, 1 - 3)=(-5, - 2).

Step3: Reflect the translated point across the y - axis

The rule for reflecting a point (x, y) across the y - axis is (-x, y). For the point (-5, - 2), after reflection across the y - axis, the new coordinates are (5, - 2).

Answer:

(5, - 2)