Which of the following ordered pairs is part of the solution set for the equation y=3x^2−4
?
Option #1: (−1,1)
Option #2: (0,3)
Option #3: (3,1)
To determine if an ordered pair is part of the solution set for the equation, we substitute the x and y values into the equation and see if they make the equation true.
Option #1: (-1,1)
Substituting the x and y values into the equation:
1 = 3(-1)^2 - 4
1 = 3(1) - 4
1 = 3 - 4
1 = -1
Option #2: (0,3)
Substituting the x and y values into the equation:
3 = 3(0)^2 - 4
3 = 3(0) - 4
3 = 0 - 4
3 = -4
Option #3: (3,1)
Substituting the x and y values into the equation:
1 = 3(3)^2 - 4
1 = 3(9) - 4
1 = 27 - 4
1 = 23
Out of the three options given, only Option #3: (3,1) is part of the solution set for the equation y = 3x^2 - 4.