To determine whether a coordinate pair is a point on the given parabola, we need to substitute the x-coordinate into the equation and check if the resulting y-coordinate matches.
Let's check each option:
1) (-1, -81)
Substituting x = -1 into the equation:
y = -4(-1)^2 - 53(-1) - 56
y = -4 + 53 - 56
y = -7
The resulting y-coordinate is -7, which does not match the given y-coordinate of -81. Therefore, (-1, -81) is not a point on the parabola.
2) (2, -84)
Substituting x = 2 into the equation:
y = -4(2)^2 - 53(2) - 56
y = -16 - 106 - 56
y = -178
The resulting y-coordinate is -178, which does not match the given y-coordinate of -84. Therefore, (2, -84) is not a point on the parabola.
3) (-3, -83)
Substituting x = -3 into the equation:
y = -4(-3)^2 - 53(-3) - 56
y = -36 + 159 - 56
y = 67
The resulting y-coordinate is 67, which does not match the given y-coordinate of -83. Therefore, (-3, -83) is not a point on the parabola.
4) (0, -56)
Substituting x = 0 into the equation:
y = -4(0)^2 - 53(0) - 56
y = 0 + 0 - 56
y = -56
The resulting y-coordinate is -56, which matches the given y-coordinate of -56. Therefore, (0, -56) is a point on the parabola.
Therefore, the point on the parabola y = -4x^2 - 53x - 56 is (0, -56).
which of the following coordinate pairs is a point on the parabola y=-4x^2-53x-56
1 answer