The vertex of a quadratic function is the point at which the function reaches its maximum or minimum value. When you're discussing the vertex in relation to a square root function, it’s important to clarify that the standard quadratic function is typically expressed in the form \(y = ax^2 + bx + c\), while square root functions are expressed in the form \(y = a \sqrt{x - h} + k\).
If you're looking at a quadratic function derived from a square root function (for example, \(y = \sqrt{x}\)), you would typically be considering the inverse relationship; quads can be seen as the graph of \(x = y^2\).
However, if you express a quadratic function suitably, the vertex will be at the point \((h, k)\) in the vertex form of the quadratic equation, which is written as:
\[ y = a(x - h)^2 + k \]
In this form, \((h, k)\) is the vertex of the parabola. For a function derived from a square root, the related quadratic function can be expressed in terms of \(y\) as:
\[ x = a(y - k)^2 + h \]
In this case, the vertex is located at the point \((h, k)\) as well.
In summary, for a quadratic function related to a square root function (where you consider the function as reflecting across the line \(y = x\)), the vertex is determined based on the coefficients and constants present in your specific quadratic equation. Can you provide a specific function you want to analyze?