Question

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

Answer 1

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

Answer 2

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

Answer 3

does y = x^2 have an even degree?

Answer 4

y = x^2 is an even degree :)

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

was your last question a comment or a statement?

Answer 9

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

Answer 10

i'm sorry an even funciton

Answer 11

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

Answer 12

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

Answer 13

i agree

Answer 14

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

Answer 15

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