The coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) .
The coordinates of the vertices of △D′E′F′ are D′(0, −1) , E′(−5, −1) , and F′(0, −3) .
When we reflect over the y axis, the y values are unchanged and the x values are opposite
so △DEF are D(2, −1) , E(7, −1) , and F(2, −3) , reflection over the y axis will become △D′E′F′ are D'(-2, −1) , E'(-7, −1) , and F'(-2, −3)
Translation 2 units right( means x values move to the right 2 units and y values are unchanged)
△D′E′F′ are D'(-2, −1) , E'(-7, −1) , and F'(-2, −3) ------> D′(0, −1) , E′(−5, −1) , and F′(0, −3)
Answer:
1st one: Reflection across the y-axis
2nd one: Translation 2 units right