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| vertical translation ： ウィキペディア英語版 |
vertical translation
In geometry, a vertical translation is a translation of a geometric object in a direction parallel to the vertical axis of the Cartesian coordinate system.〔.〕〔.〕〔.〕
Often, vertical translations are considered for the graph of a function. If ''f'' is any function of ''x'', then the graph of the function ''f''(''x'') + ''c'' (whose values are given by adding a constant ''c'' to the values of ''f'') may be obtained by a vertical translation of the graph of ''f''(''x'') by distance ''c''. For this reason the function ''f''(''x'') + ''c'' is sometimes called a vertical translate of ''f''(''x'').〔.〕 For instance, the antiderivatives of a function all differ from each other by a constant of integration and are therefore vertical translates of each other.〔.〕
==References==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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