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Rewrite the Quadratic Function in Standard Form by Completing the Square

Question 123

Multiple Choice

Rewrite the quadratic function in standard form by completing the square.
- f(x) =3x24xf ( x ) = 3 x ^ { 2 } - 4 x


A) f(x) =3(x23) 243f ( x ) = 3 \left( x - \frac { 2 } { 3 } \right) ^ { 2 } - \frac { 4 } { 3 }
B) f(x) =3(x23) 2+49f ( x ) = 3 \left( x - \frac { 2 } { 3 } \right) ^ { 2 } + \frac { 4 } { 9 }
C) f(x) =3(x+43) 2+169f ( x ) = 3 \left( x + \frac { 4 } { 3 } \right) ^ { 2 } + \frac { 16 } { 9 }
D) f(x) =3(x+43) 2169f ( x ) = 3 \left( x + \frac { 4 } { 3 } \right) ^ { 2 } - \frac { 16 } { 9 }

Correct Answer:

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