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The equation given is in vertex form, which is \( y = a(x-h)^2 + k \), where \((h, k)\) is the vertex of the parabola.
In the equation \( y = 4(x - 25)^2 - 61 \):
- \( h = 25 \)
- \( k = -61 \)
Thus, the vertex is \((25, -61)\).
So the correct response is:
**(25,−61)**