To determine which of the given coordinate pairs is a point on the parabola defined by the equation \( y = -4x^2 - 53x - 56 \), we should evaluate the equation for each \( x \) value from the coordinate pairs and see if it results in the corresponding \( y \) value.
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For \((-4, 220)\): \[ y = -4(-4)^2 - 53(-4) - 56 = -4(16) + 212 - 56 = -64 + 212 - 56 = 92 \] So, \((-4, 220)\) is not on the parabola.
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For \((-4, -56)\): We already calculated \( y \) when \( x = -4 \) above and found \( y = 92 \). Hence, \((-4, -56)\) is also not on the parabola.
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For \((-1, 13)\): \[ y = -4(-1)^2 - 53(-1) - 56 = -4(1) + 53 - 56 = -4 + 53 - 56 = -7 \] So, \((-1, 13)\) is not on the parabola.
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For \((-1, -7)\): We already computed \( y \) when \( x = -1 \) above and found \( y = -7 \). Thus, \((-1, -7)\) is on the parabola.
The point that lies on the parabola \( y = -4x^2 - 53x - 56 \) is \((-1, -7)\).