Which of the following ordered pairs is part of the solution set for the equation y = 3x² - 4?
Option #1: (-1, 1)
Option #2: (0,3)
Option #3: (3,1)
Option # ___ is part of the solution set for the equation.
To determine which of the ordered pairs is part of the solution set for the equation, we need to substitute the values of x and y into the equation and check if the equation holds true.
Option #1: (-1, 1)
Substituting x = -1 and y = 1 into the equation, we get:
1 = 3(-1)² - 4
1 = 3(1) - 4
1 = 3 - 4
1 = -1, which is not true.
Option #2: (0,3)
Substituting x = 0 and y = 3 into the equation, we get:
3 = 3(0)² - 4
3 = 3(0) - 4
3 = 0 - 4
3 = -4, which is not true.
Option #3: (3,1)
Substituting x = 3 and y = 1 into the equation, we get:
1 = 3(3)² - 4
1 = 3(9) - 4
1 = 27 - 4
1 = 23, which is not true.
None of the given options satisfy the equation y = 3x² - 4.