Multiple choice general knowledge science & technology

The three solutions of the equation f(x) = 0 are -2, 0, and 3. Therefore, the three solutions of the equation f(x - 2) = 0 are

    • 4, -2, and 1

  2. -2, 0 and 3

  3. 4, 2, and 5

  4. 0, 2 and 5
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

If f(x) = 0 has solutions at -2, 0, and 3, then for f(x - 2) = 0, we substitute x - 2 for x. This means x - 2 = -2, 0, or 3, giving x = 0, 2, and 5. The transformation shifts all solutions 2 units to the right.

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