Exploring Quantum Physics - Week 4 Bonus Question 2

Question:

What is true about $\hat{I} \psi_0(x)$? The operator is defined as $\hat{I} \psi(x) = \psi(-x)$.

Solution:

$\psi_0(x)$ is an even function, so these are correct choices:

$\hat{I} \psi_0(x) = \psi_0(-x)$.
$\hat{I} \psi_0(x) = \psi_0(x)$.