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

Question

anonymous · Answer

$$y=x^3$$

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

x axis, y axis or origin it says,

anonymous · Answer

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

anonymous · Answer

origin

anonymous · Answer

ok, draw the graph first

anonymous · Answer

can you plot the function?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

oh i didnt see +3

anonymous · Answer

you know that x^3 is symmetric about origin?

chris · Answer

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 =).

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

not at origin.

anonymous · Answer

Thank you every one :) I hate algebra lol.

anonymous · Answer

dont hate it, its wonderful

anonymous · Answer

Good luck!

anonymous · Answer

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