You can find attribution requirements in API FAQ:

What are the attribution requirements?

You shall use the TMDb logo to identify your use of the TMDb APIs. You shall place the following notice prominently on your application: "This product uses the TMDb API but is not endorsed or certified by TMDb." Any use of the TMDb logo in your application shall be less prominent than the logo or mark that primarily describes the application and your use of the TMDb logo shall not imply any endorsement by TMDb. When attributing TMDb, the attribution must be within your application's "About" or "Credits" type section.

When using a TMDb logo, we require you to use one of our approved logos.

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Are there branding requirements?

Our logo should not be modified in color, aspect ratio, flipped or rotated except where otherwise noted.

Our logo can be white, black or any of the approved colors used throughout our branding. For a list of official logos, see our logos & attribution page.

When referring to TMDb, you should use either the acronym "TMDb" or the full name "The Movie Database". Any other name is not acceptable. When linking back to our website, please point your link to "https://www.themoviedb.org/".

If you are putting our company name or logo on any merchandise or product packaging please consult us beforehand for approval.