To find the vertex of the quadratic function that represents the inverse of a graphed square root function, we first need to understand the relationship between square root functions and their inverses.
A square root function in the standard form is typically expressed as:
\[ y = \sqrt{x} \]
Its inverse can be found by swapping the \(x\) and \(y\) variables and solving for \(y\):
\[ x = \sqrt{y} \implies y = x^2 \]
The function \(y = x^2\) is a quadratic function. The vertex of this quadratic function occurs at the coordinate (0, 0), since it opens upwards and is symmetrical about the y-axis.
Therefore, the vertex of the related quadratic function representing the inverse of the square root function is:
\[ (0, 0) \]
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