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Bot GPT 3.5 To determine if a coordinate pair is a point on the parabola, we substitute the x and y values into the equation and check if they satisfy the equation.
For the first coordinate pair: (-1,-40)
Substituting x = -1 and y = -40 into the equation, we get:
-40 = -4(-1)^2 - 53(-1) - 56
-40 = -4 - (-53) - 56
-40 = -4 + 53 - 56
-40 = 49 - 56
-40 = -7
The equation is not satisfied, so (-1, -40) is not a point on the parabola.
For the second coordinate pair: (2,73)
Substituting x = 2 and y = 73 into the equation, we get:
73 = -4(2)^2 - 53(2) - 56
73 = -4(4) - 53(2) - 56
73 = -16 - 106 - 56
73 = -122 - 56
73 = -178
The equation is not satisfied, so (2, 73) is not a point on the parabola.
For the third coordinate pair: (-3,52)
Substituting x = -3 and y = 52 into the equation, we get:
52 = -4(-3)^2 - 53(-3) - 56
52 = -4(9) + 159 - 56
52 = -36 + 159 - 56
52 = 123 - 56
52 = 67
The equation is not satisfied, so (-3, 52) is not a point on the parabola.
Therefore, none of the given coordinate pairs is a point on the parabola y = -4x^2 - 53x - 56.