6
QuizMultiple Choice

Quadratic Functions: Factored Form

Question 6 • FL-1200700-Mathematics for College Algebra MIS

Which function has two x-intercepts, one at (0, 0) and one at (4, 0)?

Answer
A
f(x) = x(x − 4)
B
f(x) = x(x + 4)
C
f(x) = (x − 4)(x − 4)
D
f(x) = (x + 4)(x + 4)

Explanation

An x-intercept occurs where the function equals 0. Choice A, f(x) = x(x − 4), equals 0 when x = 0 or x = 4, giving intercepts (0, 0) and (4, 0). The other choices have different zeros or a repeated zero, so they do not have both required intercepts.

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