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.

Question

Natasha Palmer

Mathematics

8 January, 08:32

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.

+1

Answers (1)

Know the Answer?

Reid Black · Answer 1

F (x) = x² (the parent function)

f (x) is an even function.

g (x) = 2 x² + 1

g ( - x) = 2 ( - x) ² + 1 = 2 x² + 1

Answer:

A) It is an even function

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 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.