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)? \(y = - 2 x ^ { 2 } - 2 x + 4\)

---

Definitions:

Great Exhibition

The first World's Fair, held in 1851 in London, showcasing the achievements of the Industrial Revolution and cultural artifacts.

Prefabricated Elements

Manufactured units or components that are produced in a factory and then transported to a construction site for quick assembly.

Romantic-Style Building

A construction that embodies the aesthetics of the Romantic period, focusing on emotion, nature, and historical nostalgia.

Islamic Domes

Architectural elements often seen in mosque design, characterized by their rounded shapes and significance in Islamic culture.