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anonymous

  • 5 years ago

Determine whether each curve for y=4x^2 is symmetric with respect to the x-axis, the y-axis and the origin.

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  1. anonymous
    • 5 years ago
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    So, what have you tried so far?

  2. anonymous
    • 5 years ago
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    It's actually making alot of sense. So far, all my answers are correct in the back of the book, so now I want to make sure i'm getting the others right. I didn't understand the entire concept until now so its coming together quite well thanks to you. I'm going to submit in here what I have so far, so maybe you could tell me if it looks right if you would be so kind.

  3. anonymous
    • 5 years ago
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    y=4x^2 To solve for the x-axis, I have -y=4x^2 I cannot do anything else with this equation and since it is not the original equation, I am saying there is no x-axis symmetry.

  4. anonymous
    • 5 years ago
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    To solve for y-axis, I have y=(-4x) (-4x) y=4x^2 Original Equation makes it y-axis symmetric

  5. anonymous
    • 5 years ago
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    To solve the origin (replacing with-x, y), I have y=(-4x) (-4x) y=4x^2 Origin YES........ I sure hope i'm doing this a bit better...what do you think?

  6. anonymous
    • 5 years ago
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    yes you right

  7. anonymous
    • 5 years ago
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    Really? That is awesome. I sure have been studying hard considering this isn't even my work. I passed Algebra in 2002 in college with a 100%; however apparently after all those years you forget alot. Its pretty neat though.

  8. anonymous
    • 5 years ago
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    yes its true but when you learned something and forget through some time you remember this very fast

  9. anonymous
    • 5 years ago
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    Im not so sure that I got the origin right though. Aren't I replacing x,y with (-x,-y)

  10. anonymous
    • 5 years ago
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    no let's see for example y=x^3 x-axis is -y=x^3 y-axis is y=(-x)^3

  11. anonymous
    • 5 years ago
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    So original equation is y=4x^2 For the origin, shouldn't I be replacing the x,y with (-x, -y)? Making it: -y=(-4x) (-4x) -y=4x^2 Making the origin not symmetric right?

  12. anonymous
    • 5 years ago
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    what don't you understand

  13. anonymous
    • 5 years ago
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  14. anonymous
    • 5 years ago
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    y-axis for y=4x^2 is origin function

  15. anonymous
    • 5 years ago
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    Okay, so correct the first time. Ugh.

  16. anonymous
    • 5 years ago
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    I put that on my calculator as well and got what you got as well. Thank you very much again.

  17. anonymous
    • 5 years ago
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    Okay, so correct the first time. Ugh.

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