Question

which of the following coordinate pairs is a point on the parabola y = 4x^2 - 53x - 56?
(-1, -7)
(-4, -220)
(-1, 13)
(-4, -56)

Answer 1

Plug each x into y = 4x^2 − 53x − 56:

- x = −1: y = 4(1) − 53(−1) − 56 = 4 + 53 − 56 = 1 → point would be (−1, 1), not (−1, −7) or (−1, 13).
- x = −4: y = 4(16) − 53(−4) − 56 = 64 + 212 − 56 = 220 → point would be (−4, 220), not (−4, −220) or (−4, −56).

Therefore none of the listed coordinate pairs lie on the parabola.