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Mathematics
OpenStudy (anonymous):

What is the symmetry if y=x cubed+3?

OpenStudy (anonymous):

\[y=x^3\]

OpenStudy (anonymous):

so adding 3 moves this function from intersecting the y axis at 0 to intersecting at y=3

OpenStudy (anonymous):

what is the symmetry you ask? you want to see if this function is odd or even?

OpenStudy (anonymous):

x axis, y axis or origin it says,

OpenStudy (anonymous):

I just don't understand how to decifer where it is intersecting and what type of symmetry the graph is.

OpenStudy (anonymous):

origin

OpenStudy (anonymous):

ok, draw the graph first

OpenStudy (anonymous):

can you plot the function?

OpenStudy (anonymous):

so, what do you think is the axis of symmetry?

OpenStudy (anonymous):

My book has the answer: Non. I just want to know why?

OpenStudy (anonymous):

oh i didnt see +3

OpenStudy (anonymous):

you know that x^3 is symmetric about origin?

OpenStudy (chris):

Hi all, Chris here. In two minutes we will be restarting the server to launch bug fixes and some new features. At that time, this study group will be unavailable for 1-3 minutes. Look forward to see you after the break =).

OpenStudy (anonymous):

this +3 in function moves whole graph upwards by 3, so point of symmetry is at [0;3]

OpenStudy (anonymous):

@DanieGirl, Plotting the function should help. http://www.wolframalpha.com/input/?i=x^3+%2B+3

OpenStudy (anonymous):

not at origin.

OpenStudy (anonymous):

Thank you every one :) I hate algebra lol.

OpenStudy (anonymous):

dont hate it, its wonderful

OpenStudy (anonymous):

Good luck!

OpenStudy (anonymous):

Just like most other things, it's only fun once you get reach a level of proficiency.

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