Which of the following coordinate pairs is a point on the parabola y=−4x2−53x−56 ?(1 point) Responses (−1,−7) left parenthesis negative1 comma negative 7 right parenthesis (−1,13) left parenthesis neagtive 1 comma 13 right parenthesis (−4,−56) left parenthesis negative 4 comma negative 56 right parenthesis (−4,220) left parenthesis negative 4 comma 220 right parenthesis

1 answer

To find whether a point is on the parabola y=−4x^2−53x−56, substitute the x and y values of the point into the equation and see if it is satisfied.

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

For option 2: (-1, 13)
y = -4(-1)^2 - 53(-1) - 56
y = -4 + 53 - 56
y = -4 ≠ 13

For option 3: (-4, -56)
y = -4(-4)^2 - 53(-4) - 56
y = -64 + 212 - 56
y = -64 ≠ -56

For option 4: (-4, 220)
y = -4(-4)^2 - 53(-4) - 56
y = -64 + 212 - 56
y = 92 ≠ 220

None of the given options are points on the parabola y=−4x^2−53x−56.