Which of the following coordinate pairs is a point on the parabola y=−4x2−53x−56 ?(1 point) Responses (−4,220) left parenthesis negative 4 comma 220 right parenthesis (−4,−56) left parenthesis negative 4 comma negative 56 right parenthesis (−1,−7) left parenthesis negative1 comma negative 7 right parenthesis (−1,13) left parenthesis neagtive 1 comma 13 right parenthesis
To determine which coordinate pair is a point on the parabola, we substitute the x-value into the equation and check if the resulting y-value matches the given y-value.
For the coordinate pair (-4, 220):
Replacing x with -4 in the equation:
y = -4(-4)^2 - 53(-4) - 56
y = -64 + 212 - 56
y = -64 + 212 - 56
y = 148
The y-value does not match the given value of 220.
For the coordinate pair (-4, -56):
Replacing x with -4 in the equation:
y = -4(-4)^2 - 53(-4) - 56
y = -64 + 212 - 56
y = -64 + 212 - 56
y = 148
The y-value does not match the given value of -56.
For the coordinate pair (-1, -7):
Replacing x with -1 in the equation:
y = -4(-1)^2 - 53(-1) - 56
y = -4 + 53 - 56
y = -4 + 53 - 56
y = -7
The y-value matches the given value of -7.
For the coordinate pair (-1, 13):
Replacing x with -1 in the equation:
y = -4(-1)^2 - 53(-1) - 56
y = -4 + 53 - 56
y = -4 + 53 - 56
y = -7
The y-value does not match the given value of 13.
Therefore, the point (-1, -7) is a point on the parabola y = -4x^2 - 53x - 56.