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The image contains a graph of a quadratic function (a parabola) and questions related to the graph. Let's analyze the graph and provide answers to the questions (11–15):

1. **Question 11: y-intercept**
   - The **y-intercept** is the point where the graph crosses the y-axis. From the graph, this appears to be at \( y = -1 \).

2. **Question 12: Vertex**
   - The **vertex** of the parabola is the lowest point on the graph since it's an upward-facing parabola. The vertex appears to be at the point \( (1, -4) \).

3. **Question 13: Axis of Symmetry**
   - The **axis of symmetry** is the vertical line that passes through the vertex. This line is \( x = 1 \).

4. **Question 14: Domain**
   - The **domain** of any quadratic function is all real numbers, so the domain is \( (-\infty, \infty) \).

5. **Question 15: Range**
   - The **range** is the set of possible y-values the function can take. Since the parabola opens upwards and the vertex is at \( y = -4 \), the range is \( [-4, \infty) \).

Would you like further explanations on any of these points or have any questions?

Here are five related questions for further practice:
1. What is the general form of a quadratic function?
2. How do you find the vertex of a parabola algebraically?
3. What other methods can you use to find the axis of symmetry?
4. How does the direction of a parabola (upward or downward) affect its range?
5. What are the conditions for a quadratic function to have no real x-intercepts?

**Tip:** The axis of symmetry of a parabola given by the equation \( y = ax^2 + bx + c \) is always \( x = -\frac{b}{2a} \).

The image contains a graph of a quadratic function (a parabola) and questions related to the graph's y-intercept, vertex, axis of symmetry, domain, and range.

Learn how to analyze a quadratic function by identifying its y-intercept, vertex, axis of symmetry, domain, and range. This problem is suited for high school students studying quadratic functions and graphing parabolas.

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