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- anonymous

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

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- anonymous

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

- schrodinger

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- anonymous

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

- amistre64

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

- anonymous

does y = x^2 have an even degree?

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- amistre64

y = x^2 is an even degree :)

- anonymous

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

- amistre64

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

- anonymous

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

- anonymous

was your last question a comment or a statement?

- anonymous

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

- anonymous

i'm sorry an even funciton

- anonymous

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

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

- anonymous

i agree

- anonymous

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

- anonymous

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

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