Which of the following points lies on the parabola y = x^2 - 4?

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Question: Which of the following points lies on the parabola y = x^2 - 4?

Options:

Correct Answer: (1, -3)

Solution:

Substituting x = 1 into the equation gives y = 1^2 - 4 = -3, so the point (1, -3) lies on the parabola.

Which of the following points lies on the parabola y = x^2 - 4?

Which of the following points lies on the parabola y = x^2 - 4?

Step 1: Identify the equation of the parabola, which is y = x^2 - 4.
Step 2: Choose a value for x to test. In this case, we will use x = 1.
Step 3: Substitute x = 1 into the equation. This means we will calculate y = 1^2 - 4.
Step 4: Calculate 1^2, which is 1.
Step 5: Now subtract 4 from 1. So, 1 - 4 = -3.
Step 6: The result gives us the point (1, -3). This means when x = 1, y = -3.
Step 7: Conclude that the point (1, -3) lies on the parabola y = x^2 - 4.

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