If the parent function f (x) = x^2 is modified to g (x) = 2x^2+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 or an odd function

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1 August, 17:21

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Amore · Answer 1

Hello:

A) it is an even function because for all x in R:

f (-x) = 2 (-x) ²+1

= 2x²+1

f (-x) = f (x)

If the parent function f (x) = x^2 is modified to g (x) = 2x^2+1, which statement is true about g (x) ?A) it is an even functionB) it is an odd functionC) it is both an even and an odd functionD) it is neither an even or an odd function