Give the coordinates of each vertex (D, E, and F) and explain how you found the coordinates.

Answer:
D(-4, -3), E(-7, 4), and F(-7, -3).
Step-by-step explanation:
The current coordinates are A(4, 2), B(7, 9), and C(7, 2).
If you reflect the coordinates over the y-axis, the y-values will not be changing, but the signs of the x-values will flip. So, you will have A'(-4, 2), B'(-7, 9), and C'(-7, 2).
When you translate the resulting triangle down 5 units, the y-values will decrease by 5 units. So, the coordinates of triangle DEF will be D(-4, -3), E(-7, 4), and F(-7, -3).
Hope this helps!
Answer:
D (-4, -3)
E (-7, 4)
F (-7,-3)
Step-by-step explanation:
Well triangle ABC reflected over the y-axis to make triangle DEF looks like the image below. ↓
Then we have to translate triangle DEF 5 units down.
With the coordinates D, E, F,
D (-4,2)
E (-7,9)
F (-7,2)
To translate it 5 units down we just subtract the y coordinates by 5.
D (-4, -3)
E (-7, 4)
F (-7,-3)
Thus,
the coordinates for triangle DEF are (-4, -3) , (-7, 4) , (-7,-3).
Hope this helps :)