1.
- Domain: All real numbers
- Range: y ≥ -4
- x-intercepts: (-2, 0), (2, 0)
- y-intercept: (0, -4)
- Vertex: (0, -4)
- Axis of Symmetry: x = 0
- Direction: Upward
- Minimum/Maximum: Minimum at (0, -4)
- Intervals of Increase: x > 0
- Intervals of Decrease: x < 0
- End Behavior: As x → ∞, y → ∞; as x → -∞, y → ∞
2.
- Domain: All real numbers
- Range: y ≤ 3
- x-intercepts: (-1, 0), (3, 0)
- y-intercept: (0, 3)
- Vertex: (1, 3)
- Axis of Symmetry: x = 1
- Direction: Downward
- Minimum/Maximum: Maximum at (1, 3)
- Intervals of Increase: x < 1
- Intervals of Decrease: x > 1
- End Behavior: As x → ∞, y → -∞; as x → -∞, y → -∞
3.
- Domain: All real numbers
- Range: y ≥ -5
- x-intercepts: (-3, 0), (1, 0)
- y-intercept: (0, -3)
- Vertex: (-1, -5)
- Axis of Symmetry: x = -1
- Direction: Upward
- Minimum/Maximum: Minimum at (-1, -5)
- Intervals of Increase: x > -1
- Intervals of Decrease: x < -1
- End Behavior: As x → ∞, y → ∞; as x → -∞, y → ∞
Parent Tip: Review the logic above to help your child master the concept of characteristics of quadratic functions worksheet answers.