4
QuizMultiple Choice

Completing the Square — Quiz

Question 4 • Algebra I

Which function in vertex form is equivalent to f of x is equal to 4 plus x squared minus 2 x ?

Answer
A
f of x is equal to open paren x plus 1 close paren squared plus 5
B
f of x is equal to open paren x minus 1 close paren squared plus 5
C
f of x is equal to open paren x minus 1 close paren squared plus 3
D
f of x is equal to open paren x plus 1 close paren squared plus 3

Explanation

Rearrange the expression as x² − 2x + 4. Completing the square gives x² − 2x + 1 + 3 = (x − 1)² + 3, so the equivalent vertex form is “f of x is equal to (x − 1) squared plus 3,” choice C.

AI-written and checked against the verified answer.

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