How would you sketch a graph that is an even degree function, but is not an even function?

Question

anonymous · Answer

what does that even mean? (x-5)^2 = y

amistre64 · Answer

an even function is an even degree; but perhaps you are talking about rational expressions?

anonymous · Answer

does y = x^2 have an even degree?

amistre64 · Answer

y = x^2 is an even degree :)

anonymous · Answer

y = x^2 + x is of degree 2, so it is even, but y is not an even function

amistre64 · Answer

or do we mean even function as in "spins around the y axis"?

anonymous · Answer

why are you trying to sketch this thing? What math class are you in?

anonymous · Answer

was your last question a comment or a statement?

anonymous · Answer

an even degree implies f(-x) = f(x), or reflects across the y axis

anonymous · Answer

i'm sorry an even funciton

anonymous · Answer

so you can have even degreed functions even, or not.. ie y = x^2 vs y = (x-2)^2 which is not centered at the origin

anonymous · Answer

an even degree is y = x ^2n where n is an integer

anonymous · Answer

i agree

anonymous · Answer

(x-a)^2n involves a translation of a units to the right

anonymous · Answer

(x-a)^2n + b involves the same a translation, with a vertical translation b units (up)