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

Practice Questions

Q1
Which of the following points lies on the parabola y = x^2 - 4?
  1. (2, 0)
  2. (0, -4)
  3. (1, -3)
  4. (3, 5)

Questions & Step-by-Step Solutions

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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