Final answer:
To graph triangle BCD and its image after a translation, plot the points and apply the translation rule. The coordinates of D' are (8, -6).
Step-by-step explanation:
To graph the triangle BCD, plot the points B(-8, -6), C(-5, 2), and D(-2, -7) on a coordinate plane. Then, apply the translation rule (x, y) + (x + 10, y + 1) to each point by adding 10 to the x-coordinate and 1 to the y-coordinate.
The coordinates of D' would be (-2 + 10, -7 + 1), which simplifies to (8, -6).