Question

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

Answer 1

\[y=x^3\]

Answer 2

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

Answer 3

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

Answer 4

x axis, y axis or origin it says,

Answer 5

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

Answer 6

origin

Answer 7

ok, draw the graph first

Answer 8

can you plot the function?

Answer 9

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

Answer 10

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

Answer 11

oh i didnt see +3

Answer 12

you know that x^3 is symmetric about origin?

Answer 13

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 =).

Answer 14

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

Answer 15

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

Answer 16

not at origin.

Answer 17

Thank you every one :) I hate algebra lol.

Answer 18

dont hate it, its wonderful

Answer 19

Good luck!

Answer 20

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