SOLUTION: Please help!
Determine whether the graph of y=|4x| is symmetric with respect to the x-axis, the y-axis, or the origin.
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Question 163935: Please help!
Determine whether the graph of y=|4x| is symmetric with respect to the x-axis, the y-axis, or the origin.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine whether the graph of y=|4x| is symmetric with respect to the x-axis, the y-axis, or the origin.
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f(x) = |4x|
f(-x) = |-4x|= |-1|*|4x| = |4x|
-f(-x) = -|4x|
-f(x) = -|4x|
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Since f(x)=f(-x) you have symmetry wrt the y-axis.
Since f(x) is not equal to -f(-x) you do not have origin symmetry.
f(x) and -f(x) are two different functions; no x-axis symmetry.
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Cheers,
Stan H.
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