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if triangle abc is translated down 3 units and then reflected across th…

Question

if triangle abc is translated down 3 units and then reflected across the y - axis, what are the coordinates of point a? (5, - 2) complete if triangle abc is translated down 3 units and then reflected across the y - axis, what are the coordinates of point b? (2, 1) complete if triangle abc is translated down 3 units and then reflected across the y - axis, what are the coordinates of point c? retry (1 - 2) (-1 - 2) x - 2) (-2 1)

Explanation:

Step1: Identify original coordinates of point C

From the graph, point C has coordinates $(1,1)$.

Step2: Apply translation

Translation down 3 units changes the y - coordinate. The rule for translation down 3 units is $(x,y)\to(x,y - 3)$. So, $(1,1)\to(1,1 - 3)=(1,-2)$.

Step3: Apply reflection across y - axis

The rule for reflection across the y - axis is $(x,y)\to(-x,y)$. So, $(1,-2)\to(-1,-2)$.

Answer:

$(-1,-2)$