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

question 12

Multiple Choice

Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points. ?? $( 0,0 ) , ( 4 , - 4 ) , ( 8,0 )$ ?

• A)? \(\frac { 1 } { 4 }\) x² - 4 y
• B)? \(\frac { 1 } { 4 }\) x² -2 x
• C)?- \(\frac { 1 } { 4 }\) x² - 4 x
• D)? \(\frac { 1 } { 4 }\) x² + 4 x
• E)?- \(\frac { 1 } { 4 }\) x² + 4 x

Comprehend the core tenets and implications of Republican free labor ideology and its contrast with pro-slavery arguments.

Recognize key events that heightened sectional tensions, such as the caning of Charles Sumner and the Dred Scott decision.

Identify the significance and outcomes of major political and legal decisions, including those related to slavery and citizenship.

Analyze the role of infrastructure developments, like railroads, in regional economic disparities and political tensions.

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