Question

graph △rst with vertices r(4, 1), s(7, 3), and t(6, 4) and its image after the glide reflection. translation: (x, y)→(x, y - 1) reflection: in the y - axis.

Explanation:

Step1: Apply the translation

For point $R(4,1)$: $(4,1)\to(4,1 - 1)=(4,0)$
For point $S(7,3)$: $(7,3)\to(7,3 - 1)=(7,2)$
For point $T(6,4)$: $(6,4)\to(6,4 - 1)=(6,3)$

Step2: Apply the reflection in the y - axis

The rule for reflection in the y - axis is $(x,y)\to(-x,y)$
For the translated point $R'(4,0)$: $(4,0)\to(-4,0)$
For the translated point $S'(7,2)$: $(7,2)\to(-7,2)$
For the translated point $T'(6,3)$: $(6,3)\to(-6,3)$

Answer:

The original triangle $\triangle RST$ has vertices $R(4,1)$, $S(7,3)$, $T(6,4)$. Its image after the glide - reflection has vertices $R''(-4,0)$, $S''(-7,2)$, $T''(-6,3)$