Question
Asked Oct 10, 2019
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Use tests for symmetry to determine which graphs from the list below are symmetric with respect to the origin. (Select all that apply.)

 
x = 1/5y2
x = −y2 + 3
y = −1/3x3
y = x3 − 8
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Expert Answer

Step 1

Consider the given equations

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1 х — (а). 5y2 (Б) х%3D- у? +3 -1 (с) У Зх3 (а) у %3х* -8 =

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Step 2

Now check for the symmetric with respect to origin.

If any graph symmetric to origin then that must be contain (-x,-y).

Then subpart (a)

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1 х — 5y2 Now substitute x-x and y-y Then 1 (-x)= 5(-y 1 —х %—D 5y2

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Step 3

Now point (-x,-y) not satisfies the equation.

So graph of...

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