What is the best way to incorporate this default Forgot Password functionality into a custom module?

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Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
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Clicking the “Forgot Password” LinkButton redirects the user to SendPassword.ascx user control:
You can do the same in your custom module, or roll up your own password reset form. In the latter case, I would take a copy of SendPassword.ascx as a template.