The correct answer is option 1, Cheetah. The distinct black stripes that extend from the inner corners of the eyes to the mouth can be seen in cheetahs.

Option 2, Jaguar, does not have distinct black stripes extending from the inner corners of the eyes to the mouth. Jaguars have a pattern of rosettes, which are rose-shaped spots with a dot in the center, all over their body.

Option 3, Leopard, also does not have distinct black stripes extending from the inner corners of the eyes to the mouth. Leopards have rosette-shaped spots all over their body as well.

Option 4, Panther, is not a specific species of animal. The term "panther" is often used to refer to a black leopard or black jaguar, which would still not have distinct black stripes from the inner corners of the eyes to the mouth.

Therefore, the correct answer is option 1, Cheetah.