Find the Equation of the Parabola $y = a x ^ { 2 } + b x + c$

question 228

Multiple Choice

Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points (-2,4) ,(0,-4) , and (3,2) .

• A) \(y = - \frac { 8 } { 5 } x ^ { 2 } + \frac { 6 } { 5 } x - 4\)
• B) \(y = \frac { 6 } { 5 } x ^ { 2 } - \frac { 8 } { 5 } x - 4\)
• C) \(y = \frac { 8 } { 15 } x ^ { 2 } - \frac { 16 } { 5 } x - \frac { 4 } { 3 }\)
• D) \(y = - \frac { 2 } { 15 } x ^ { 2 } + \frac { 4 } { 5 } x - 7\)

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