Write the Standard Form of the Equation of the Parabola $\left( - \frac { 2 } { 3 } , \frac { 1 } { 9 } \right)$

question 94

Multiple Choice

Write the standard form of the equation of the parabola that has a vertex at $\left( - \frac { 2 } { 3 } , \frac { 1 } { 9 } \right)$ and passes through the point $( 2,3 )$ .

• A) \(f ( x ) = \frac { 13 } { 32 } \left( x - \frac { 3 } { 2 } \right) ^ { 2 } + \frac { 1 } { 9 }\)
• B) \(f ( x ) = \frac { 13 } { 32 } \left( x + \frac { 2 } { 3 } \right) ^ { 2 } + \frac { 1 } { 9 }\)
• C) \(f ( x ) = \frac { 13 } { 4 } \left( x - \frac { 2 } { 3 } \right) ^ { 2 } - \frac { 1 } { 9 }\)
• D) \(f ( x ) = \frac { 13 } { 8 } \left( x - \frac { 3 } { 2 } \right) ^ { 2 } - \frac { 1 } { 9 }\)
• E) \(f ( x ) = \frac { 13 } { 4 } \left( x + \frac { 2 } { 3 } \right) ^ { 2 } + \frac { 1 } { 9 }\)

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