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To find the point on the curve $y = x^2 - 4$ at $x = -1$, substitute $x = -1$ into the equation. Evaluating $(-1)^2 - 4$ yields $1 - 4 = -3$, so the coordinates of the point are $(-1, -3)$.

Conditions: The curve is defined by the equation $y = x^2 - 4$.; The x-coordinate of the desired point is given as $-1$.; The point must lie on the curve.

To find the point on the curve $y = x^2 - 4$ at $x = -1$, substitute $x = -1$ into the equation. Evaluating $(-1)^2 - 4$ yields $1 - 4 = -3$, so the coordinates of the point are $(-1, -3)$.

Conditions: The curve is defined by the equation $y = x^2 - 4$.; The x-coordinate of the desired point is given as $-1$.; The point must lie on the curve.