To determine which coordinate pair is a point on the parabola defined by the equation \( y = -4x^2 - 53x - 56 \), we need to substitute the x-coordinate of each pair into the equation and see if it gives the corresponding y-coordinate.
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For the pair (-4, 220): \[ y = -4(-4)^2 - 53(-4) - 56 \] \[ y = -4(16) + 212 - 56 \] \[ y = -64 + 212 - 56 = 92 \quad \text{(not 220)} \]
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For the pair (-1, -7): \[ y = -4(-1)^2 - 53(-1) - 56 \] \[ y = -4(1) + 53 - 56 \] \[ y = -4 + 53 - 56 = -7 \quad \text{(matches)} \]
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For the pair (-1, 13): \[ y = -4(-1)^2 - 53(-1) - 56 \] \[ y = -4(1) + 53 - 56 \] \[ y = -4 + 53 - 56 = -7 \quad \text{(not 13)} \]
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For the pair (-4, -56): \[ y = -4(-4)^2 - 53(-4) - 56 \] \[ y = -4(16) + 212 - 56 \] \[ y = -64 + 212 - 56 = 92 \quad \text{(not -56)} \]
The only coordinate pair that satisfies the equation of the parabola is (-1, -7). Therefore, that is the point on the parabola.