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Quadratic function over unit intervals

Select the unit interval on which  g(x)=(x+3)2g(x)=〖(x+3)〗^2  is decreasing?

Select the unit interval on which g(x)=x2g(x)=x^2  is decreasing?

Select the unit interval on which g(x)=(x1)2g(x)=〖(x-1)〗^2 is increasing?

Select the unit interval on which  g(x)=(x1)2g(x)=〖(x-1)〗^2  is decreasing?

Select the unit interval on which f(x)=x2f(x)=x^2  is increasing?

 Is the sentence true or false?

h(x)=x2+1h(x)=x^2+1 is decreasing on [2,3][-2,-3] .

 Select the unit interval on which f(x)=(x+3)2f(x)=〖(x+3)〗^2  is increasing?

What is the line of symmetry of f (x) = xf\ \left(x\right)\ =\ -x2 ?

Select the unit interval on which f(x)=x2+2f(x)=x^2+2  is increasing?

Select the unit interval on which g(x)=x2+1g(x)=x^2+1  is decreasing?