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

question 18

Multiple Choice

Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points. $( - 1,4 ) , ( 0,4 ) , ( 1,0 )$ ?

• A)? \(y = - x ^ { 2 } - 2 x + 4\)
• B)? \(y = - 2 x ^ { 2 } - 2 x - 4\)
• C)? \(y = - 2 x ^ { 2 } + 2 x - 4\)
• D)? \(y = - x ^ { 2 } - 2 x + 3\)
• E)? \(y = - 2 x ^ { 2 } - 2 x + 4\)