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? done

Explanation:

Step1: Identify original coordinates

Let's assume the original coordinates of point $C$ are $(x,y)$. From the graph, if we assume $C$ is at $(0,1)$.

Step2: Perform translation

Translation down 3 units changes the $y -$coordinate. The rule for translation down $k$ units is $(x,y)\to(x,y - k)$. Here $k = 3$, so $(0,1)\to(0,1 - 3)=(0,-2)$.

Step3: Perform reflection across y - axis

The rule for reflection across the $y$-axis is $(x,y)\to(-x,y)$. So $(0,-2)\to(0,-2)$.

Answer:

$(0,-2)$