Which of the following coordinate pairs is a point on the parabola y=−4x2−53x−56 ? (1 point) Responses (-1,13) (-1,13) (-4,220) (-4,220) (-4,-56) (-4,-56) (-1,-7)

Answer 1

To determine if a given coordinate pair is a point on the parabola, we substitute the x and y values into the equation to see if it is a true statement.
Let's check each of the coordinate pairs:

For (-1, 13):
y = -4x^2 - 53x - 56
13 = -4(-1)^2 - 53(-1) - 56
13 = -4 - (-53) - 56
13 = -4 + 53 - 56
13 = 49 - 56
13 = -7

Since -7 is not equal to 13, (-1, 13) is not a point on the parabola.

For (-4, 220):
y = -4x^2 - 53x - 56
220 = -4(-4)^2 - 53(-4) - 56
220 = -4(16) - (-212) - 56
220 = -64 + 212 - 56
220 = 148

Since 148 is not equal to 220, (-4, 220) is not a point on the parabola.

For (-4, -56):
y = -4x^2 - 53x - 56
-56 = -4(-4)^2 - 53(-4) - 56
-56 = -4(16) - (-212) - 56
-56 = -64 + 212 - 56
-56 = 92 - 56
-56 = -56

Since -56 is equal to -56, (-4, -56) is a point on the parabola.

For (-1, -7):
y = -4x^2 - 53x - 56
-7 = -4(-1)^2 - 53(-1) - 56
-7 = -4 - (-53) - 56
-7 = -4 + 53 - 56
-7 = 49 - 56
-7 = -7

Since -7 is equal to -7, (-1, -7) is a point on the parabola.

Therefore, the coordinate pair (-4, -56) and (-1, -7) are points on the parabola y = -4x^2 - 53x - 56.