g(x) is a translation of 3 units to the right and one unit down of f(x), then:
g(x) = (x - 3)^2 - 1
Which is the equation of g(x)?
We know that f(x) = x^2 has the same shape than g(x), but g(x) is translated.
If we compare the two vertices, the one of f(x) is at (0, 0), while the vertex of g(x) is at (3, -1).
Then we have a translation of 3 units to the right and one unit downwards.
This is written as:
g(x) = f(x - 3) - 1
By replacing f(x) we get:
g(x) = (x - 3)^2 - 1
So the correct option is A.
If you want to learn more about translations:
https://brainly.com/question/24850937
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