Respuesta :
Answer:
Step-by-step explanation:
Without a visual representation of the quadratic graph you're referring to, I can't provide the equation directly. However, I can guide you through the process of writing the equation for a quadratic graph based on its characteristics.
A quadratic equation typically takes the form:
\[ y = ax^2 + bx + c \]
where:
- \(a\), \(b\), and \(c\) are constants.
- \(x\) and \(y\) are variables representing the coordinates on the graph.
To write the equation for the quadratic graph, you'll need to determine the values of \(a\), \(b\), and \(c\) based on the graph's characteristics. Here are some steps you can follow:
1. **Identify the vertex**: The vertex of a quadratic graph represents the maximum or minimum point. If the vertex is at the point \((h, k)\), then the equation has the form:
\[ y = a(x - h)^2 + k \]
2. **Find the roots (x-intercepts)**: The roots of a quadratic equation are the points where the graph intersects the x-axis. If the roots are \(x_1\) and \(x_2\), then the equation can be factored as:
\[ y = a(x - x_1)(x - x_2) \]
3. **Use the given information**: If you have additional information about the graph, such as a point it passes through or its axis of symmetry, you can use this information to determine the values of \(a\), \(b\), and \(c\) accordingly.
Once you have identified the necessary information from the graph, you can use it to write the equation for the quadratic graph. If you provide specific details about the graph or its characteristics, I can assist you further in writing the equation.
