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Studentc14

  • 3 years ago

How to test for symmetry?? Test the equation for symmetry and sketch its graph. x=square root of y

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  1. klimenkov
    • 3 years ago
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    |dw:1351369947995:dw|

  2. Studentc14
    • 3 years ago
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    Okay, thanks for the graph. but how do you test for symmetry?

  3. tkhunny
    • 3 years ago
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    Substitute Symmetry across the y-axis: see of f(x) = f(-x) Symmetry across the x-axis: see of f(y) = f(-y) Symmetry across the origin: see of f(x) = -f(-x)

  4. Studentc14
    • 3 years ago
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    I don't understand can you like show me an exapmle

  5. tkhunny
    • 3 years ago
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    y = x^2 Substitute -x y = (-x)^2 = (-1)^2 * (x^2) = x^2 EXACTLY the same. Symmetry about the y-axis.

  6. Studentc14
    • 3 years ago
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    what about the x azis?

  7. amistre64
    • 3 years ago
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    functions dont have a test about the x axis since a function only defines a unique value for any given x

  8. amistre64
    • 3 years ago
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    there are tests for about the y axis, about the origin, and if its a "relation" then we can try tests for about the x axis a spose; see if -y and y can stem from the same x value

  9. Studentc14
    • 3 years ago
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    then how to test about the origin?

  10. amistre64
    • 3 years ago
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    if you negate the input, does it produce a negated output?

  11. amistre64
    • 3 years ago
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    |dw:1351372774439:dw|

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