Functions and Transformations Answers

What transformations are used in transforming the parent graph y = x, to obtain the graph of ? Check all that apply.

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Eileen is trying to test if the function f(x) = x2 + 2x + 5 is even, odd or neither. She produces the following work:f(– x) = (–x)2 + 2(–x) + 5 = x2 – 2x + 5What conclusion can she reach?

The function g(x) = 3x3 + x is an odd function. Which transformations of g(x) would result in odd functions? Check all that apply.–g(x)g(2x)g(x − 1)g(x) − 3g(–x)

Given f(x) = log2x, which of the functions below represents g(x) resulting from reflecting the graph of f(x) in the x-axis and shifting left by 2 units?g(x) = log2(–x – 2)g(x) = –log2x – 2g(x) = –log2(x + 2)g(x) = 2 – log2x

Function f undergoes two transformations to become g. Express g(x) in terms of f(x).

Which describes the transformations of y = f(x) that would result in the graph of y = f(–x) – 7.