What is the minimum value of f(x) = (x - 3)²?

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Study for the PSAT 8/9 Math Test. Practice with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What is the minimum value of f(x) = (x - 3)²?

Explanation:
This question hinges on the idea that a square can't be negative. The expression (x - 3)² is always greater than or equal to 0, and it equals 0 exactly when x = 3. So the smallest value f(x) can take is 0, and that happens at x = 3. For any other x, the square is positive, so you can’t get any smaller value.

This question hinges on the idea that a square can't be negative. The expression (x - 3)² is always greater than or equal to 0, and it equals 0 exactly when x = 3. So the smallest value f(x) can take is 0, and that happens at x = 3. For any other x, the square is positive, so you can’t get any smaller value.

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