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SAT® Math

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Moderate

Identifying an Extreme Value

SATMAT-SZUTOI

If $ y=k(x+3)(x-2)$, where $k$ is a constant and $k<0$, then which of the following must be a true statement?

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A

The maximum value for $y$ occurs when $x=-\cfrac { 1 }{ 2 }$.

B

The minimum value for $y$ occurs when $x=-\cfrac { 1 }{ 2 }$.

C

The maximum value for $y$ occurs when $x=\cfrac { 1 }{ 2 }$.

D

The minimum value for $y$ occurs when $x=\cfrac { 1 }{ 2 }$.