Use the function rules to find the coordinates of A" B" C" and predict the quadrant it will be in after the transformations ABC, with coordinates A(-8,4),B(-5,8) and C(-3,3),

To find the coordinates of points A", B", and C" after the transformations ABC with given coordinates A(-8, 4), B(-5, 8), and C(-3, 3), we first need to identify what the transformations (denoted ABC) are. If we define the transformations, we can apply them to the original coordinates.

However, since you have not specified what the transformations (A, B, and C) are, I need to assume some common transformations. Common transformations include translations, reflections, rotations, and dilations.

For the sake of this example analysis, let's assume the following transformations:

1. A: Reflection across the y-axis.
2. B: Translation 3 units right and 2 units down.
3. C: Rotation 90 degrees counter-clockwise about the origin.

### Applying Transformations

1. **Transformation : Reflect across the y-axis.
- A(-8, 4) → A' (8, 4)
- B(-5, 8) → B' (5, 8)
- C(-3, 3) → C' (3, 3)

2. **Transformation B**: Translate 3 units right and 2 units down.
- A'(8, 4) → A" (8 + 3, 4 - 2) = A" (11, 2)
- B'(5, 8) → B" (5 + 3, 8 - 2) = B" (8, 6)
- C'(3, 3) → C" (3 + 3, 3 - 2) = C" (6, 1)

3. **Transformation C**: Rotate 90 degrees counter-clockwise about the origin.
- A"(11, 2) → A'" (-2, 11) (new coordinates after rotation)
- B"(8, 6) → B'" (-6, 8)
- C"(6, 1) → C'" (-1, 6)

### Final Coordinates
After all transformations, the final coordinates are:
- A'" (-2, 11)
- B'" (-6, 8)
- C'" (-1, 6)

### Predicting the Quadrant
To determine in which quadrant the transformed points lie:
- A'" (-2, 11): Quadrant II (x is negative, y is positive)
- B'" (-6, 8): Quadrant II (x is negative, y is positive)
- C'" (-1, 6): Quadrant II (x is negative, y is positive)

All three points A", B", and C" are in Quadrant II.

If different transformations were intended, please specify them, and I can adapt this response accordingly!