A function is defined as f(x) = −x² + 4x − 3. What is the maximum value?

A 1

B 3

C −3

D 4

✓ Correct Answer: Option A

Vertex x = −b/(2a) = −4/(−2) = 2. f(2) = −4 + 8 − 3 = 1. Since a < 0, vertex is the max.

💡 Why is A) the correct answer?

The correct answer to the question "A function is defined as f(x) = −x² + 4x − 3. What is the maximum value?" is Option A: 1.

The other options — B) 3, C) −3, D) 4 — are incorrect for this SAT Exam Prep question. As explained above: Vertex x = −b/(2a) = −4/(−2) = 2. f(2) = −4 + 8 − 3 = 1. Since a < 0, vertex is the max.

📚 About This SAT Exam Prep Practice Question

This 2-level SAT Exam Prep question from the Math (Calculator) topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free SAT Exam Prep practice test or use flashcards for spaced repetition review.

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A function is defined as f(x) = −x² + 4x − 3. What is the maximum value?

✓ Correct Answer: Option A

📚 About This SAT Exam Prep Practice Question

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