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

g(x) is shifted 7 units to the right and 2 units up.
g(x) is shifted 2 units to the right and 7 units up.
g(x) is shifted 7 units to the right and 2 units down.
g(x) is shifted 2 units to the left and 7 units up.

Respuesta :

Using shifting concepts, it is found that the correct option is given by:

g(x) is shifted 2 units to the right and 7 units up.

The parent function is:

[tex]f(x) = x^3[/tex]

First, [tex]x \rightarrow x - 2[/tex], which means that it was shifted 2 units to the right.

Then, [tex]g(x) = f(x - 2) + 7[/tex], which means it was shifted 7 units up.

Thus, the correct option is:

g(x) is shifted 2 units to the right and 7 units up.

A similar problem is given at https://brainly.com/question/24465194

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