What does it mean to translate a graph?

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What does it mean to translate a graph?

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Answer 1 · 2015-06-12T08:05:14

Translations are simply horizontal and/or vertical shifts. So, #y = sqrtx - 2# is shifted 2 units down from #y = sqrtx#, while #y = sqrt(x-2)# is shifted 2 units right of #y = sqrtx#.

#y = sqrtx#:
graph{sqrtx [-10, 10, -5, 5]}

#y = sqrtx - 2#:
graph{sqrtx - 2 [-10, 10, -5, 5]}

#y = sqrt(x - 2)#:
graph{sqrt(x-2) [-10, 10, -5, 5]}

#y = sqrt(x - 2) - 2#:
graph{sqrt(x-2) - 2 [-10, 10, -5, 5]}

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What does it mean to translate a graph?

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