what is the green dot on the parabola called?

The green dot on a parabola is most commonly referred to as the **vertex**. The vertex is a key point on a parabola, representing either the maximum or minimum value, depending on whether the parabola opens upward or downward.

- If the parabola opens **upward**, the vertex is the lowest point (minimum).
- If the parabola opens **downward**, the vertex is the highest point (maximum).

The coordinates of the vertex can be found using the vertex form of a quadratic equation:  
\[ y = a(x-h)^2 + k \]
where \((h, k)\) represents the vertex.

Would you like more details or have any questions?

Here are 5 related questions you might explore:
1. How can you find the vertex of a parabola given its equation?
2. What is the significance of the axis of symmetry in relation to the vertex?
3. How do you convert a quadratic equation from standard form to vertex form?
4. Can the vertex be used to determine whether a parabola opens up or down?
5. What is the relationship between the vertex and the focus of a parabola?

**Tip:** The vertex also serves as the turning point of the parabola, where the direction changes from increasing to decreasing or vice versa.

Discover what the green dot on a parabola is called and learn about its significance in quadratic equations. The vertex is a key point that represents the minimum or maximum value of a parabola, depending on its orientation. This explanation includes the vertex form formula and highlights important algebraic concepts. Suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation