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, ) done

Explanation:

Step1: Find original coordinates

Assume the original coordinates of point $B$ from the graph are $(- 2,4)$.

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, $(-2,4)\to(-2,4 - 3)=(-2,1)$.

Step3: Apply reflection

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

Answer:

$1$