Which of the following ordered pairs is a solution of the equation y equals negative 4 x squared?
Which of the following ordered pairs is a solution of the equation y equals negative 4 x squared?
A. left parenthesis negative 2 comma 16 right parenthesis
B. left parenthesis 1 comma negative 8 right parenthesis
C. left parenthesis 0 comma negative 4 right parenthesis
D. left parenthesis 2 comma negative 16 right parenthesis
Plug in the x and y values of each ordered pair into the equation and see if the equation is true.
A. y = -4(-2)^2 = -4(4) = -16. This means the ordered pair is (-2,-16), not ( -2,16).
B. y = -4(1)^2 = -4. This matches the y-value of the ordered pair (1,-8).
C. y = -4(0)^2 = 0. This matches the y-value of the ordered pair (0,-4).
D. y = -4(2)^2 = -4(4) = -16. This matches the y-value of the ordered pair (2,-16).
Therefore, the solution is (D) left parenthesis 2 comma negative 16 right parenthesis.