Question

Which of the following coordinate pairs is a point on the parabola y=2x2−24x−15
?(1 point)
Responses

(11,−37)
left parenthesis 11 comma negative 37 right parenthesis

(2,−15)
left parenthesis 2 comma negative 15 right parenthesis

(2,−47)
left parenthesis 2 comma negative 47 right parenthesis

(−11,7)

Answer 1

To check if a coordinate pair is a point on the parabola, we substitute the x-value into the equation for x and see if it equals the y-value.

Let's check each of the options:

1) (11, -37):
y = 2(11)^2 - 24(11) - 15 = 242 - 264 - 15 = -37. This matches the y-value, so (11, -37) is a point on the parabola.

2) (2, -15):
y = 2(2)^2 - 24(2) - 15 = 8 - 48 - 15 = -55. This doesn't match the y-value, so (2, -15) is not a point on the parabola.

3) (2, -47):
y = 2(2)^2 - 24(2) - 15 = 8 - 48 - 15 = -55. This doesn't match the y-value, so (2, -47) is not a point on the parabola.

4) (-11, 7):
y = 2(-11)^2 - 24(-11) - 15 = 242 + 264 - 15 = 491. This doesn't match the y-value, so (-11, 7) is not a point on the parabola.

Therefore, the coordinate pair that is a point on the parabola is (11, -37).