What is the formula for ease-in and ease-out animation?

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The formula for ease-in and ease-out animation is as follows:

Ease-in:

f(t) = t^2

Ease-out:

f(t) = 1 - (1 - t)^2

Where t is the time variable that ranges from 0 to 1. The output of the function f(t) represents the pace of animation, where a higher output means a faster animation.

By using these formulas in your animation code, you can create a smooth and natural transition effect between two states.