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 graph
b: second graph

A: First graph

Step-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

rounding to the nearest thousandth would be 452,000

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation: