Question

If the parent function f(x) = x2 is modified to g(x) = 2x2 + 1, which statement is true about g(x)?

Answer 1

It is an even function.



It is an odd function.



It is both an even and an odd function.



It is neither an even nor an odd function.

Answer 2

same function elongated,

Answer 3

A function f(x) is an even function if f(-x) = f(x). In other words, replacing x with -x doesn't modify the function.

A function f(x) is an odd function if f(-x) = -f(x). In other words, replacing x with -x is identical to the equation obtained after multiplying each term by -1.