Question

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

Answer 1

Indeed it is an even function, becasue f(x) = f(-x)

Proof

f(x) = 2x^2 + 1

f(-x) = 2(-x)^2 + 1 = 2x^2 + 1 = f(x)