16
QuizMultiple Choice

N/A — Exam

Question 16 • Algebraic Reasoning

Which function is a quadratic function?

Answer
A
h of x is equal to 3 x open paren x minus 2 close paren minus 4
B
p times x is equal to 2 x open paren x squared plus 6 close paren plus 1
C
t times x is equal to negative 8 x squared open paren x squared minus 6 close paren plus 1
D
m times x is equal to negative 4 times open paren x plus 3 close paren minus 2

Explanation

A quadratic function has highest power of x equal to 2 after simplifying. In choice D, h(x) = 3x(x − 2) − 4 = 3x² − 6x − 4, so its highest power is 2. The other choices simplify to functions of degree 3, degree 4, and degree 1, respectively. Therefore, h(x) = 3x(x − 2) − 4 is the quadratic function.

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