What is the significance of the vertex in the graph of a quadratic function?
Practice Questions
1 question
Q1
What is the significance of the vertex in the graph of a quadratic function?
It represents the maximum or minimum point of the function.
It is the point where the function crosses the y-axis.
It indicates the x-intercepts of the function.
It is the point where the function is undefined.
The vertex of a quadratic function is the point at which the function reaches its maximum or minimum value.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the significance of the vertex in the graph of a quadratic function?
Solution: The vertex of a quadratic function is the point at which the function reaches its maximum or minimum value.
Steps: 5
Step 1: Understand that a quadratic function is a type of mathematical function that can be written in the form y = ax^2 + bx + c.
Step 2: Recognize that the graph of a quadratic function is a U-shaped curve called a parabola.
Step 3: Identify that the vertex is a specific point on this parabola.
Step 4: Know that the vertex is the highest point if the parabola opens downwards (maximum value) or the lowest point if it opens upwards (minimum value).
Step 5: Conclude that the vertex is significant because it tells us the maximum or minimum value of the function, which is important for understanding the behavior of the graph.
