The vertices of ∆DEF are D(2, –4), E(3, –4), and F(3, –2).Which figure shows the image of ∆DEF for a glide reflection where the translation is (x, y) → (x, y + 5) and the line of reflection is x = 0?Answers are the two graphs in the picture A: First graphB: Second graph

Answer:A: First graphStep-by-step explanation:* In the translation- If we move the figure horizontally, means left or right, we change  the x-coordinate # Ex: if point (x , y) translated horizontally a units to the right,   then its image is (x - a , y), or if it translated horizontally b units   to the left, then its image is (x + b , y) - If we move the figure vertically, means up or down, we change  the y-coordinate # Ex: if point (x , y) translated vertically c units up,   then its image is (x , y + c), or if it translated vertically d units   down, then its image is (x , y - d) ∵ Triangle DEF translated by (x , y) → (x , y + 5), that means    translate it by 5 units up ⇒ translated vertically∵ D (2 , -4) , E (3 , -4) and F (3 , -2)- Add every y-coordinate 5 unites- (-4) + 5 = 1 , (-4) + 5 = 1 , (-2) + 5 = 3∴ D' (2 , 1) , E' (3 , 1) and F' (3 , 3)* The reflection on the line x = 0, means a reflection across the y-axis  because x = 0 means the points on y-axis- The reflection across the y-axis change the sign of the   x-coordinates∴ D" (-2 , 1) , E" (-3 , 1) and F" (-3 , 3)* Look to the graph you will find these points on the first  graph in the second photo