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algebra

What value represents the vertical translation from the graph of the parent function f(x) = x^2 to the graph of the function g(x) = (x + 5)^2 + 3?

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  1. If I am correct, the vertical displacement is 3 and the horizontal displacement is 5.
    Please double check this answer.

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  2. Change that: The horizontal displacement is -5.
    The qty (X + 5) is the independent variable. X + 5 = 0 when x = -5, hence the "origin" is displaced to the left.
    In your other problem, the qty
    (x -4) is the indep. var. x - 4 = 0 when x = +4.
    If correct, these problems are asking how the origin is displaced from that of the parent function, which, in each case, has origin (0, 0).

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  3. this was no HELP

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