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

Question

Martha Murphy

6 April, 13:25

+4

Answers (1)

Know the Answer?

Luis Gutierrez · 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