# Math - Functions

posted by .

I know the following equation is definitely NOT EVEN, BUT I DO NOT KNOW WHY IT'S NOT ODD!. . .

PLEASE. . .EXPLAIN THOROUGHLY!. . .

y = 2(x - 1)^2 + 3

f(-x) = 2(-x - 1)^2 + 3
f(-x) does not equal f(x), therefore, not even. . .

-f(x) = -[2(x + 1)^2 + 3]
-f(x) = -2(-x - 1)^2 - 3
-f(x) does not equal f(x), therefore, not odd ----- BUT WHY? I DON'T SEE THIS!!!!!. . .

Isn't the equation y = 2(x - 1)^2 + 3 opposite of y = -2(-x + 1)^2 - 3?????????

## Similar Questions

1. ### odd and even functions

Using f is odd if f(-x) = -f(x) or even if f(-x) = f(x) for all real x, how do I 1)show that a polynomial P(x) that contains only odd powers of x is an odd function 2)show that if a polynomial P(x) contains both odd and even powders …
2. ### math

I know It's probably an easy question but I don't know remember how to do it. Show the work to determine if the relation is even, odd, or neither. a ) f(x) = 2x^2 - 7 b) f(x) = -4x^3 - 2x c) f(x) = 4x^2 - 4x + 4 If f(-x) = f(x), for …

Did I get this practice question right? 1. Consider the following functions: f(x)=cos(x^3-x) h(x)=|x-3|^3 g(x)=1n(|x|+3) s(x)=sin^3(x) Which of the following is true?

Consider the following functions: f(x)=sin(x^4-x^2) h(x)=(|x|-3)^3 g(x)=1n(|x|)+3 s(x)=sin^3(x) Which of the following is true?

Okay, so I think these are right, but I would appreciate if someone could check them and tell me if something is wrong and what the right answer is. I'd also appreciate an explanation if possible. :)Thank you! 7. Given that f(x)={x^3 …
6. ### Math

If f and g are functions defined for all real numbers, and f is an odd function, then f ∘ g is also an odd function. Justify. I wrote false cause for example if f = x^3(odd) and g=x^2(even) the fog is even.
7. ### Algerbra

f m and p are positive integers and (m + p) x m is even, which of the following must be true?
8. ### Trigonometry

1. Using the definitions of odd and even functions, explain why y=sin x+1 is neither odd nor even. 2.Using the definition of an even function, show that y=-cos is even.
9. ### Math

If m and p are positive integers and (m + p)x m is even, which of the following must be true?
10. ### Calculus

Write the following function as the sum of an odd and an even function. Then calculate the integral over the given interval using the properties of odd and even functions. (x-1)^3, I=[-1,1]

More Similar Questions