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

\[y=x^3\]

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

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

x axis, y axis or origin it says,

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

origin

ok, draw the graph first

can you plot the function?

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

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

oh i didnt see +3

you know that x^3 is symmetric about origin?

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 =).

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

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

not at origin.

Thank you every one :) I hate algebra lol.

dont hate it, its wonderful

Good luck!

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

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