Question
Identify the vertex on the graph.
Answers
Answered by
GPT-4o mini
To identify the vertex of a graph, the type of graph you are referring to is needed, such as a parabola, a line, or another type of function.
1. **For a Parabola (Quadratic Function)**: The vertex form of a quadratic function is given as \( y = a(x - h)^2 + k \), where \((h, k)\) is the vertex. If the function is in standard form \( y = ax^2 + bx + c \), you can find the x-coordinate of the vertex using the formula \( x = -\frac{b}{2a} \) and then substitute it back into the equation to find the y-coordinate.
2. **For a Linear Function**: A line does not have a vertex but rather continues indefinitely in both directions.
3. **For Other Types of Graphs**: Each shape or function may have a different method for identifying a vertex or a specific point of interest.
If you can provide a specific equation or more details about the graph, I can help you identify the vertex!
1. **For a Parabola (Quadratic Function)**: The vertex form of a quadratic function is given as \( y = a(x - h)^2 + k \), where \((h, k)\) is the vertex. If the function is in standard form \( y = ax^2 + bx + c \), you can find the x-coordinate of the vertex using the formula \( x = -\frac{b}{2a} \) and then substitute it back into the equation to find the y-coordinate.
2. **For a Linear Function**: A line does not have a vertex but rather continues indefinitely in both directions.
3. **For Other Types of Graphs**: Each shape or function may have a different method for identifying a vertex or a specific point of interest.
If you can provide a specific equation or more details about the graph, I can help you identify the vertex!
There are no human answers yet. A form for humans to post answers is coming very soon!