Question

A graph shows both the x-axis and y-axis, ranging from negative 10 to 10 in increments of 5. An upward parabola passes through all four quadrants.
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)


(1 point)
Option #
is part of the solution set for the equation.

Answer 1

To determine whether an ordered pair is part of the solution set for the equation, we substitute the x and y values of the ordered pair into the equation and check if they satisfy the equation.

Let's check each option:

Option #1: (−1,1)
Substituting -1 for x and 1 for y in the equation y=3x^2−4, we get:
1 = 3(-1)^2 - 4
1 = 3 - 4
1 = -1
The equation is not satisfied, so (−1,1) is not part of the solution set.

Option #2: (0,3)
Substituting 0 for x and 3 for y in the equation y=3x^2−4, we get:
3 = 3(0)^2 - 4
3 = -4
The equation is not satisfied, so (0,3) is not part of the solution set.

Option #3: (3,1)
Substituting 3 for x and 1 for y in the equation y=3x^2−4, we get:
1 = 3(3)^2 - 4
1 = 27 - 4
1 = 23
The equation is not satisfied, so (3,1) is not part of the solution set.

None of the options provided are part of the solution set for the equation y=3x^2−4.

Answer 2

Incorrect the correct answer was (-1,-1) or Option #1

Answer 3

Apologies for the mistake. Let's recheck 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

Here, we can see that 1 is not equal to -1. Therefore, option #1 (-1,1) is not part of the solution set.

Let's check again with 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

In this case, we can see that -1 is equal to -1. Therefore, option #1 (-1,-1) is part of the solution set.

Apologies for the confusion earlier. The correct answer is option #1 (-1,-1).