How i can translate this text in homepage, please.
you can use Loco Translate(https://www.wordpress.org/plugins/loco-translate/) plugin to change all your strings to your preference.After Installing the plugin you can navigate to Loco Translate->Themes and select your theme. Then if your WordPress language is in English (US) click on the https://goo.gl/qCbywH English language and start changing your stings to your preference.If you have another language as a WordPress default add it from Loco Translate's New Language button and repeat the above procedure for your new language.
Dont forget to select the author location for your translations.
Let me know if you need additional help on this.
I would prefer not to use plugins.
I have modified a lot of text strings in this template and in others.For example, I modified this same text "Filed under" in the Single Post template. You can see in my website.But i dont find this text in your php files. Could not you tell me in what php file is the text string of the home?
you can find and replace then in index.php, search.php, single.php,template-frontpage1.php,template-frontpage2.php and template-frontpage3.php
Is not in single.php.
Glad you worked this out.