Which functions are symmetric with respect to the y-axis? Check all that apply. f(x) = |x| f(x) = [x+ 3 f(x) = [X + 31

Question

Which functions are symmetric with respect to the y-axis? Check all that apply.
f(x) = |x|
f(x) = [x+ 3
f(x) = [X + 31
f(x) = [x] + 6
f(x) = |x – 61
f(x) = 5x + 31 – 6

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Piper 2 weeks 2021-09-10T12:55:29+00:00 1 Answer 0

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    2021-09-10T12:56:53+00:00

    Answer:

    f(x) = |x|, f(x) = [x] + 6

    Step-by-step explanation:

    Almost all of these are absolute values equations, which means the y doesn’t change if x is positive or negative. The first one is the parent form, which is the simplest equation of the absolute equation, so it’s symmetric with respect to the y-axis. The second equation is translated 3 units to the left, and the third is translated 31 to the left. The forth is translated 6 up, so it’s still symmetric with respect to the y-axis. The fifth is translated 61 units left, and the last one is simply a line, which isn’t symmetric.

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