To determine if a coordinate pair is on the parabola, we need to substitute the x-coordinate into the equation for x and see if it matches the y-coordinate.
a) (-5, -36)
Substituting x = -5 into the equation:
y = -4(-5)^2 - 53(-5) - 56
y = -4(25) + 265 - 56
y = -100 + 265 - 56
y = 109
Since the resulting y-coordinate does not match -36, (-5, -36) is not on the parabola.
b) (-3, 2)
Substituting x = -3 into the equation:
y = -4(-3)^2 - 53(-3) - 56
y = -4(9) + 159 - 56
y = -36 + 159 - 56
y = 67
Since the resulting y-coordinate does not match 2, (-3, 2) is not on the parabola.
c) (0, -56)
Substituting x = 0 into the equation:
y = -4(0)^2 - 53(0) - 56
y = 0 - 0 - 56
y = -56
Since the resulting y-coordinate matches -56, (0, -56) is on the parabola. Answer: \boxed{(0, -56)}.
Which of the following coordinate pairs is a point on the parabola y=−4x^2−53x−56
1 answer