SOLUTION: is the graph of y = |x|-5 symmetric with respect to the origin, the x-axis, or the y-axis?

Algebra ->  Graphs -> SOLUTION: is the graph of y = |x|-5 symmetric with respect to the origin, the x-axis, or the y-axis?      Log On


   

Question 872383: is the graph of y = |x|-5 symmetric with respect to the origin, the x-axis, or the y-axis?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
is the graph of y = |x|-5 symmetric with respect to the origin, the x-axis, or the y-axis?
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f(x) = |x|-5
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f(-x) = |-x|-5 = |x|-5
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-f(-x) = -|-x|-5 = -|x|-5
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Origin ? : No because f(x) does not equal -f(-x)
x-axis ? : No because f(x) is a function
y-axis ? : Yes because f(x) = f(-x)
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Graph :::
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cabs%28x%29-5%29
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Cheers,
Stan H.
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