The problem states that the image point of $A$ after a translation left 3 units and down 3 units is the point $B(-8, -3)$. We need to determine the coordinates of the pre-image point $A$.

To reverse a translation:

• A translation left by 3 units means to go right by 3 units.
• A translation down by 3 units means to go up by 3 units.

Given point $B(-8, -3)$, to find $A$:

• Reverse the horizontal shift: Add 3 to the x-coordinate of $B$. $-8 + 3 = -5$
• Reverse the vertical shift: Add 3 to the y-coordinate of $B$. $-3 + 3 = 0$

Thus, the coordinates of the pre-image point $A$ are: $A(-5, 0)$

Would you like more details, or do you have any other questions?

Here are 5 related questions for further exploration:

1. What happens if the translation had been up instead of down?
2. How do you determine the new coordinates after a different type of transformation (e.g., reflection)?
3. How can translations be represented algebraically?
4. What is the geometric interpretation of translating a shape or point?
5. What happens if you translate a point in both directions (left-right and up-down)?

Tip: When reversing translations, always think of "undoing" the steps applied, such as moving in the opposite direction.