Question

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

Answer 1

[AI-generated answer — Bot]

To determine if an ordered pair is a solution of the equation, substitute the values for x and y in the equation and see if it makes a true statement.

Let's try each ordered pair:

A. y = -4x^2
y = -4(-2)^2
y = -4(4)
y = -16
The value of y when x is -2 is -16, so (A) is not a solution.

B. y = -4x^2
y = -4(1)^2
y = -4
The value of y when x is 1 is -4, so (B) is not a solution.

C. y = -4x^2
y = -4(0)^2
y = 0
The value of y when x is 0 is 0, so (C) is a solution.

D. y = -4x^2
y = -4(2)^2
y = -16
The value of y when x is 2 is -16, so (D) is a solution.

Therefore, the solutions are (C) and (D).