F(x)=x^2
g(x) = (x– 9)^2 +3
We can think of g as a translated (shifted) version of f.

To get the function g, shift f up by 3 units and to the right by 9 units.

Step-by-step explanation:

The given functions are

If f(x) is a parent function, then g(x) can be written in the form of f(x) as

       ...(1)

The translation is defined as

      ... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

It means, to get the function g, shift f up by 3 units and to the right by 9 units.

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: