11
QuizMultiple Choice

Graphing Quadratic Functions — Test

Question 11 • Algebraic Reasoning

Which equation, when graphed, has x -intercepts at 8 comma 0 and negative 2 comma 0 and a y -intercept at 0 comma negative 48 ?

Answer
A
f of x is equal to 3 open paren x minus 8 close paren open paren x plus 2 close paren
B
f of x is equal to negative 3 open paren x plus 8 close paren open paren x minus 2 close paren
C
f of x is equal to negative 3 x open paren x minus 8 close paren open paren x plus 2 close paren
D
f of x is equal to 3 open paren x plus 8 close paren open paren x minus 2 close paren

Explanation

The x-intercepts at 8 and −2 mean the equation must have factors (x − 8) and (x + 2). Choices A and B have those factors. Using the y-intercept, substitute x = 0: choice A gives 3(−8)(2) = −48, while choice B gives −3(8)(−2) = 48. Therefore, the equation is f(x) = 3(x − 8)(x + 2), choice A.

AI-written and checked against the verified answer.

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