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

a. it is an even function.

b. it is an odd function.

c. it is both an even and an odd function.

d. it is neither an even nor an odd function.

If f(-x) = -f(x) that the function is odd. If  f(-x)=f(x) then the function is even.

g(-x) = 2(-x)^2+1 = 2x^2+1 = g(x). The function is even.
The answer to your question is A.
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