Question

Is the translated graph x^3 or x^4? What would be the difference between the two?

Answer 1

Word problems, yay.

Answer 2

x^3 Will look like this: http://www.wolframalpha.com/input/?i=x%5E3

Answer 3

x^4 looks like this: http://www.wolframalpha.com/input/?i=x%5E4

Answer 4

Actually we're talking symmetry here.

Answer 5

@KirbyLegs Obviously I understand I can plug things into google or wolfram. But I need to explain it xD

Answer 6

Even functions will have the U shape while odd functions have the Increasing graph with the decreased slope near the point (0,0)

Answer 7

The slope of an even graph changes from negative to positive while the slope of the odd graph is always increasing and slows down at (0,0)

Answer 8

Okay, so I could say that it's even if it' opens up, odd if it opens down. Perfect. What about the second half?

Answer 9

Wait, but x^3 is a cubic function. It's increases, flatlines, then increases again o.o

Answer 10

Did I read what you said wrong? oops.

Answer 11

The amount the graph has been translated depends on the slope and it's peak.

A graph of x^4 will have a larger slope than x^3 which will have a smaller slope

^^^^
Correct on your last comment.

Answer 12

PERFECT. Thank you!

Answer 13

Welcome :)

Answer 14

@Isaiah.Feynman Did you comment and then delete it? :/

Answer 15

Wasn't relevant.

Answer 16

Can you repost? I remember reading about it in the lessons and would probably be smart to include o.o

Answer 17

A function f(x) is even if f(-x)=f(x). A function f(x) is odd if f(-x)=-f(x). Even functions are symmetric about the y axis and odd functions are symmetric about the origin.

Answer 18

Okay, thank you! Since KirbyLegs already had a medal, I gave you one. :)

Answer 19

Thanks.