To determine if a coordinate pair is a point on the given parabola, we can substitute the x and y values into the equation y = -4x^2 - 53x - 56 and check if the equation holds true.
Let's check each pair:
For O (-4, -56):
y = -4(-4)^2 - 53(-4) - 56 = -4(16) + 212 - 56 = -64 + 212 - 56 = 92, which is not equal to -56.
So, O (-4, -56) is not a point on the parabola.
For O (-4, 220):
y = -4(-4)^2 - 53(-4) - 56 = -4(16) + 212 - 56 = -64 + 212 - 56 = 92, which is not equal to 220.
So, O (-4, 220) is not a point on the parabola.
For O (-1, -7):
y = -4(-1)^2 - 53(-1) - 56 = -4(1) + 53 - 56 = -4 + 53 - 56 = -7, which is equal to -7.
So, O (-1, -7) is a point on the parabola.
For O (-1, 13):
y = -4(-1)^2 - 53(-1) - 56 = -4(1) + 53 - 56 = -4 + 53 - 56 = -7, which is not equal to 13.
So, O (-1, 13) is not a point on the parabola.
Therefore, the only coordinate pair that is a point on the parabola y = -4x^2 - 53x - 56 is O (-1, -7).
Which of the following coordinate pairs is a point on the parabola y= -4x^ - 53x - 56?
O (-4, -56).
O (-4, 220)
O (-1, -7)
O (-1, 13)
1 answer