Question
The function \( m \) is given in three equivalent forms. Which form most quickly reveals the \( y \)-intercept? Choose 1 answer: (A) \( m(x)=4 x^{2}-8 x-32 \) (B) \( m(x)=4(x+2)(x-4) \) (C) \( m(x)=4(x-1)^{2}-36 \)
Ask by Tyler Ryan. in the United States
Feb 22,2025
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Answer
The y-intercept is –32, which is in option (A).
Solution
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Beyond the Answer
The form that most quickly reveals the \( y \)-intercept is (A) \( m(x)=4 x^{2}-8 x-32 \). In this standard form, the \( y \)-intercept can be found directly by substituting \( x=0 \), resulting in \( m(0) = -32 \). While (B) and (C) can also be evaluated for the \( y \)-intercept, they require additional steps of substituting and simplifying compared to the straightforward approach in (A).