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QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 1 • Algebra II

Which function is a quadratic function?

Answer
A
y squared minus 7 x is equal to 2 times open paren x squared plus 6 close paren plus 7
B
y minus 3 x squared is equal to 3 times open paren x squared plus 5 close paren plus 1
C
y minus 5 x is equal to 4 times open paren x plus 5 close paren plus 9
D
y minus 2 x squared is equal to 6 times open paren x cubed plus 5 close paren minus 4

Explanation

For choice B, distribute and simplify: y − 3x² = 3(x² + 5) + 1 = 3x² + 16. Adding 3x² to both sides gives y = 6x² + 16, which is a quadratic function because its highest power of x is 2. The other choices do not give a quadratic function of x: A has y², C is linear, and D includes an x³ term.

AI-written and checked against the verified answer.

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