Based on the image, I can see a worksheet about quadratic functions with a graph of a parabola. The questions appear to be asking for:
1. Vertex
2. Axis of symmetry
3. Maximum/minimum value
4. Domain
5. Range
Let me analyze the graph to answer these questions:
Vertex: Looking at the graph, the highest point of the parabola (since it opens downward) appears to be at approximately (0, 3).
Axis of symmetry: Since the vertex is at x = 0, the axis of symmetry is the vertical line x = 0 (which is the y-axis).
Maximum/minimum value: Since the parabola opens downward, it has a maximum value. The maximum value occurs at the vertex, which is y = 3.
Domain: For any quadratic function, the domain is all real numbers, since you can input any x-value.
Range: Since the parabola opens downward and has a maximum value of 3, the range is all y-values less than or equal to 3, or (-∞, 3].
Therefore, the answers are:
- Vertex: (0, 3)
- Axis of symmetry: x = 0
- Maximum value: 3 (no minimum value since it opens downward)
- Domain: All real numbers (-∞, ∞)
- Range: (-∞, 3]
Parent Tip: Review the logic above to help your child master the concept of algebra 2 vertex form worksheet answers.
