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

Madison

28 November, 08:08

+3

Answers (1)

Know the Answer?

Emma Stafford · 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