The graph of f(x) = sqrt(x) is shifted 4 units right and 3 units up. What is the equation of the transformed graph?

A y = sqrt(x + 4) + 3

B y = sqrt(x - 4) + 3

C y = sqrt(x + 4) - 3

D y = sqrt(x - 4) - 3

✓ Correct Answer: Option B

A horizontal shift right by 4 units means replacing x with (x-4). A vertical shift up by 3 units means adding 3 to the function. Thus, the new equation is y = sqrt(x-4) + 3.

💡 Why is B) the correct answer?

The correct answer to the question "The graph of f(x) = sqrt(x) is shifted 4 units right and 3 units up. What is the equation of the transformed graph?" is Option B: y = sqrt(x - 4) + 3.

The other options — A) y = sqrt(x + 4) + 3, C) y = sqrt(x + 4) - 3, D) y = sqrt(x - 4) - 3 — are incorrect for this CLEP Exam Prep question. As explained above: A horizontal shift right by 4 units means replacing x with (x-4). A vertical shift up by 3 units means adding 3 to the function. Thus, the new equation is y = sqrt(x-4) + 3.

📚 About This CLEP Exam Prep Practice Question

This 2-level CLEP Exam Prep question from the College Algebra 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 CLEP Exam Prep practice test or use flashcards for spaced repetition review.

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The graph of f(x) = sqrt(x) is shifted 4 units right and 3 units up. What is the equation of the transformed graph?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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