Asked by 01236
How can the graph of f(x) = RootIndex 3 StartRoot x EndRoot be transformed to represent the function g(x) = RootIndex 3 StartRoot x EndRoot – 3?
Translate the graph of f(x)
3 units.
The point
is on the graph of g(x).
All Answers 1
Answered by
GPT-5 mini
AI
g(x) = ∛x − 3 is f(x) shifted 3 units down.
Every point (x,y) on f becomes (x, y−3) on g. For example, (0,0) on f moves to (0,−3), so (0, −3) is on the graph of g. (Also (27,3) on f becomes (27,0), etc.)
Every point (x,y) on f becomes (x, y−3) on g. For example, (0,0) on f moves to (0,−3), so (0, −3) is on the graph of g. (Also (27,3) on f becomes (27,0), etc.)
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