In the standard form of a quadratic, what do the coordinates (x, y) equal?

In the standard form of a quadratic equation, which is typically expressed as (y = ax^2 + bx + c), the vertex of the parabola represented by that equation can be found using the coordinates ((h, k)). In this context, (h) and (k) denote the x and y coordinates of the vertex, respectively. The vertex is a key point on the graph, representing either the maximum or minimum point of the parabola, depending on the orientation (opening upwards or downwards).

To find the coordinates of the vertex, you can use the formulas (h = -\frac{b}{2a}) and substitute this into the equation to find (k). Therefore, the coordinates ((h, k)) directly relate to the value of the function at the vertex, making this the correct interpretation within the context of the question. Understanding the vertex's significance in the graph of a quadratic helps analyze its properties, such as the axis of symmetry and the direction of opening.

Other options do not represent the vertex of the quadratic but relate to different aspects of the quadratic equation, such as the roots or the y-intercept. The correct answer is clearly defined as it captures the essence of