This page shows questions in the Alg II Building Functions public release module at MSDE. Algebra 2
"Alg II Building Functions"

Consider the function f of x equals log of x. \( f(x)=\log(x). \)

Which two transformations can be used to move the graph of f of x \( f(x) \) to the graph of the opposite of f of x plus 4? \( -f(x+4)? \)

Select all that apply.

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Two functions are shown.f of x equals x squared

$$ f(x)=x^2 $$

$$ g(x)=3-x $$

Fill in each coefficient to complete the definition of 2 f of the quantity 1 minus x end quantity minus 3 g of x. \( 2 f(1-x) - 3g(x). \)

2 f of the quantity 1 minus x end quantity minus 3 g of x equals blank x squared plus blank x plus blank \( 2 f(1-x) - 3g(x) = \quad \) mathematics expression or equation \( x^2 \quad + \quad \) mathematics expression or equation \( x \quad + \quad \)