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 $x = -\frac{b}{2a}$.