Question

The function f(x) = x is translated such that the function describing the translated graph is g(x) = (x + 5)' + 2. Where

is the point (0, 0) for the function f now located on the function g?

Answer 1

(-5, 2)

Explanation:

g(x) = f(x -h) +k

is a translation of f(x) h units to the right and k units upward. Here, we seem to have h=-5 and k=2. That means the point (0, 0) has been translated 5 units to the left (to -5) and 2 units upward (to 2).

The translated location of (0, 0) is (-5, 2).

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We assume we're to ignore the apostrophe (') in the equation for g(x).