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\[y=x^3\]

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,

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?

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.