1. y = x²
- Vertex: (0, 0)
- Opens upward
- Symmetric about the y-axis
- Passes through points like (1, 1), (-1, 1), (2, 4), (-2, 4)
2. y = -x²
- Vertex: (0, 0)
- Opens downward
- Symmetric about the y-axis
- Passes through points like (1, -1), (-1, -1), (2, -4), (-2, -4)
3. y = (x + 4)² + 1
- Vertex: (-4, 1)
- Opens upward
- Shifted 4 units left and 1 unit up from y = x²
- Passes through points like (-5, 2), (-3, 2), (-6, 5), (-2, 5)
4. y = (x - 1)² - 16
- Vertex: (1, -16)
- Opens upward
- Shifted 1 unit right and 16 units down from y = x²
- Passes through points like (0, -15), (2, -15), (-3, 0), (5, 0)
Parent Tip: Review the logic above to help your child master the concept of graphing quadratic functions worksheet.