rise to
rise to {v.}
To succeed in doing what is expected by trying especially hard in or on; show that you are able to do or say what is needed or proper in or on.
Jane was surprised when the principal handed her the prize, but she rose to the occasion with a speech of thanks.
When Michael became sick on the day before the program, Paul rose to the need and learned Michael's part.
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Source: A Dictionary of American Idioms