Question

Which of the following ordered pairs is part of the solution set for the equation y=3x^2−4
?

Option #1: (−2,−8)


Option #2: (2,8)


Option #3: (−4,0)


(1 point)

Answer 1

The equation is y = 3x^2 - 4.

To check if an ordered pair (x, y) is part of the solution set for the equation, we substitute the values of x and y into the equation and see if it holds true.

Let's check each option:

Option #1: (-2, -8)
y = 3(-2)^2 - 4 = 12 - 4 = 8
The equation is not satisfied since y is not equal to -8.
Therefore, Option #1 is not part of the solution set.

Option #2: (2, 8)
y = 3(2)^2 - 4 = 12 - 4 = 8
The equation is satisfied since y = 8.
Therefore, Option #2 is part of the solution set.

Option #3: (-4, 0)
y = 3(-4)^2 - 4 = 3(16) - 4 = 48 - 4 = 44
The equation is not satisfied since y is not equal to 0.
Therefore, Option #3 is not part of the solution set.

So, the ordered pair (2, 8) is the only one that is part of the solution set for the equation.