Question

Which function represents the following graph?
00

Answer 1

`\large\boxed{y=\sqrt[3]{x+3}+3}`

Explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

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The original graph ( y = ∛x) shifted 3 units to the left and 3 units up.

Therefore, the new equation is:

y = ∛(x + 3) + 3