To check if a coordinate pair is a point on the parabola, substitute the x and y values into the equation and see if they are true.
Let's check each option:
For (-1, 13):
Substituting x = -1 and y = 13 into the equation:
13 = -4(-1)^2 - 53(-1) - 56
13 = -4 - (-53) - 56
13 = -4 + 53 - 56
13 = 49 - 56
13 = -7
Since 13 does not equal -7, the coordinate pair (-1, 13) is not a point on the parabola.
For (-4, -56):
Substituting x = -4 and y = -56 into the equation:
-56 = -4(-4)^2 - 53(-4) - 56
-56 = -4(16) - (-212) - 56
-56 = -64 + 212 - 56
-56 = 148 - 56
-56 = -56
The coordinates (-4, -56) satisfy the equation, so it is a point on the parabola.
For (-1, -7):
Substituting x = -1 and y = -7 into the equation:
-7 = -4(-1)^2 - 53(-1) - 56
-7 = -4 - (-53) - 56
-7 = -4 + 53 - 56
-7 = 49 - 56
-7 = -7
The coordinates (-1, -7) also satisfy the equation, so it is a point on the parabola.
Therefore, the point (-4, -56) and (-1, -7) are both points on the parabola y = -4x^2 - 53x - 56.
Which of the following coordinate pairs is a point on the parabola y=−4x2−53x−56 ?
(1 point)
Responses
(-1,13)
(-1,13)
(-4,-56)
(-4,-56)
(-1,-7)
(-1,-7)
1 answer
1 answer