To determine whether a coordinate pair is a point on the given parabola, substitute the x-value into the equation and see if the resulting y-value matches the given y-value.
a. (-4, -56)
Substituting x = -4 into the equation:
y = -4(-4)^2 - 53(-4) - 56
= -4(16) + 212 - 56
= -64 + 212 - 56
= -64 + 156
= 92
The y-value does not match -56.
b. (-1, 13)
Substituting x = -1 into the equation:
y = -4(-1)^2 - 53(-1) - 56
= -4(1) + 53 - 56
= -4 + 53 - 56
= -4 - 3
= -7
The y-value matches 13.
c. (-1, -7)
Substituting x = -1 into the equation:
y = -4(-1)^2 - 53(-1) - 56
= -4(1) + 53 - 56
= -4 + 53 - 56
= -4 - 3
= -7
The y-value matches -7.
d. (-4, 220)
Substituting x = -4 into the equation:
y = -4(-4)^2 - 53(-4) - 56
= -4(16) + 212 - 56
= -64 + 212 - 56
= -64 + 156
= 92
The y-value does not match 220.
Therefore, the correct answer is:
b. (-1, 13)
c. (-1, -7)
which of the following coordinate pairs is a point on the parabola y=-4x^2-53x-56?
a.(-4,-56)
b.(-1,13)
c.(-1,-7)
d.(-4,220)
1 answer