John Muir convinced Teddy Roosevelt that the best way to protect Yosemite

Valley was through:

Federal control and management

Explanation:

He believed only the federal government had the power of preservation by sealing off certain areas so that industry couldn't ruin it. These were national parks.

The creation of a national park

Explanation:

John Muir was a Scottish enviromentalist who is recognized as the "father of national parks" because he was very influential in the creation of the natural parks system by former president Teddy Roosevelt.

John Muir advocated for the protection and conservation of nature and wild life, and his writings inspired Congress to approve in 1890 the creation of the Yosemite National Park, which later Teddy Roosevelt would sign into law and enforce.