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What is the y-intercept of the equation y = x2 - 2x - 6 ?

  1. –6

  2. –2

  3. 0

  4. 6

The correct answer is: –6

The y-intercept of an equation is the point where it crosses the y-axis. Therefore, the y-intercept of the given equation can be found by setting x=0 and solving for y. Option A, -6, is the correct y-intercept of the given equation because when you substitute x=0 in the equation, you get y=0-0-6=-6. Option B, -2, is the constant coefficient of x, and not the y-intercept. Option C, 0, does not have a y-term, so it cannot be the y-intercept. Option D, 6, is the y-value when x=5. However, in order to find the y-intercept, we set x=0 and not x=5. Therefore, it is incorrect.