Quadratic function transformations worksheet with graphs and descriptions of shifts and reflections.

I'll solve this problem by analyzing the transformations of the fish graph step-by-step.

First, I need to understand what each transformation means:
- f(x) + k: shifts the graph up by k units
- f(x) - k: shifts the graph down by k units
- f(x + k): shifts the graph left by k units
- f(x - k): shifts the graph right by k units
- -f(x): reflects across the x-axis
- f(-x): reflects across the y-axis

Now I'll examine each row and determine if the description matches the transformation.

Row 1:
- f(x) + 5: should shift up 5 units → "5 UP" ✓
- f(x) + 2: should shift up 2 units → "2 UP" ✓
- f(x) - 1: should shift down 1 unit → "1 DOWN" ✓
- f(x + 3): should shift left 3 units → "3 LEFT" ✓

Row 2:
- f(x) - 2: should shift down 2 units → "2 DOWN" ✓
- f(x - 7): should shift right 7 units → "7 RIGHT" ✓
- f(x - 1): should shift right 1 unit → "1 RIGHT" ✓
- f(x) - 2: should shift down 2 units → "2 DOWN" ✓

Row 3:
- -f(x): should reflect across x-axis → "REFLECTED ACROSS X-AXIS" ✓
- -f(-x): should reflect across both axes (or equivalently, rotate 180°) → "REFLECTED ACROSS X-AXIS" (This is partially correct but incomplete; it should also mention reflection across y-axis or rotation)
- -f(x): should reflect across x-axis → "REFLECTED ACROSS X-AXIS" ✓
- -f(x + 2): should reflect across x-axis AND shift left 2 units → "REFLECTED ACROSS X-AXIS" (Missing the shift component)

Row 4:
- f(-x) - 1: should reflect across y-axis AND shift down 1 unit → "REFLECTED ACROSS Y-AXIS & 1 DOWN" ✓
- f(-x) - 2: should reflect across y-axis AND shift down 2 units → "REFLECTED ACROSS Y-AXIS & 2 DOWN" ✓
- -f(x) + 1: should reflect across x-axis AND shift up 1 unit → "REFLECTED ACROSS X-AXIS & 1 UP" ✓
- -f(x) - 3: should reflect across x-axis AND shift down 3 units → "REFLECTED ACROSS X-AXIS & 3 DOWN" ✓

The main errors are in Row 3:
- For -f(-x), it should be "REFLECTED ACROSS BOTH AXES" or "ROTATED 180°" rather than just "REFLECTED ACROSS X-AXIS"
- For -f(x + 2), it should be "REFLECTED ACROSS X-AXIS & 2 LEFT" rather than just "REFLECTED ACROSS X-AXIS"

The solution is to correct these two entries in Row 3 to accurately describe the complete transformations.