# How do you write the equation for the graph obtained when the parent graph is #y=x^3# and it is translated 4 unites left and 7 units down?

The equation of the transformed graph would be:

graph{(x+4)^3-7 [-25.66, 25.66, -12.83, 12.82]}

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The equation for the graph obtained when the parent graph ( y = x^3 ) is translated 4 units left and 7 units down is ( y = (x + 4)^3 - 7 ).

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