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QuizMultiple Choice

Completing the Square (Continued) — Quiz

Question 1 • Algebra I

Which is one of the transformations applied to the graph of f of x is equal to x squared to produce the graph of g of x is equal to 2 x squared minus 28 x plus 3 ?

Answer
A
shifted up 3 units
B
shifted right 7 units
C
shifted down 3 units
D
shifted left 7 units

Explanation

Complete the square: g(x) = 2x² − 28x + 3 = 2(x − 7)² − 95. The (x − 7) inside the squared expression means the graph of f(x) = x² is shifted right 7 units. The factor of 2 and the shift down 95 units are additional transformations.

AI-written and checked against the verified answer.

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