How do I find the quadratic equation with the following: passing through (1/2,0), (-1/2,0), and (0,1) ??

Step-by-step explanation:

passing through (¹/₂,0) and (-¹/₂,0) so:  ¹/₂ and -¹/₂ are roots of the equation

so:

     y = a(x - ¹/₂)(x-(-¹/₂))

     y = a(x - ¹/₂)(x +¹/₂)

     y = a(x² - ¹/₄)

and passing through (0,1) so:

     1 = a(0² - ¹/₄)

     1 = - ¹/₄a

     a = -4

therefore:

                 y = 4(x² - ¹/₄)

                 y = 4x² - 1

So the quadratic equation:   4x² - 1 = 0

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

c. (3,2,6) is the answer.