https://file.aiquickdraw.com/mathbot/file/1729633432424d3iqsmhm.jpg

The graph provided shows a quadratic function in the form of a parabola, and the vertex of the parabola is at the point (0, 4). The parabola opens downwards, indicating a maximum value at the vertex.

### To find the range:
- The maximum value of the quadratic function is \( y = 4 \) (from the vertex).
- Since the parabola opens downward, the values of \( y \) decrease without bound.

Thus, the range of the quadratic function is:
\[ (-\infty, 4] \]

Would you like more details or have any questions?

Here are 5 related questions to deepen understanding:
1. How do you find the vertex of a quadratic function given its equation?
2. What is the significance of the direction in which the parabola opens?
3. How can you determine the domain of a quadratic function?
4. What does it mean for a quadratic function to have a maximum or minimum value?
5. How do transformations affect the range of a quadratic function?

**Tip:** In any quadratic function \( f(x) = ax^2 + bx + c \), if \( a > 0 \), the parabola opens upwards (minimum value); if \( a < 0 \), it opens downwards (maximum value).

What is the range of this quadratic function?

Explore how to determine the range of a quadratic function, given a graph where the vertex is at (0, 4) and the parabola opens downward. This problem focuses on quadratic concepts and range determination. Suitable for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation