How does the graph of g(x) = (x + 2)3 − 7 compare to the parent function of f(x) = x3?

shifted 2 to the left and 7 down

Step-by-step explanation:

We know that the transformation of the parent function f(x) to f(x+a) is a shift of the function f(x) a units to the left or to the right depending on a.

if a>0 then the shift is a units to the left.

and if a<0 then the shift is a units to the right.

Also the transformation of the type:

  f(x) to f(x)+k

is a shift of the function f(x) k units up or down depending on k.

if k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here we have the parent function f(x) as:

and the transformed function g(x) as:

Hence, the shift is 2 units to the left and 7 units down.

49%

step-by-step explanation:

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