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Given the following functions f(x) and g(x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g(x) with respect to the graph of f(x). *

f(x) = |x| g(x) = -|x+3| - 2

  • algebra -

    |x+3| ... shift left 3
    -|x+3| ... reflect over x-axis
    -|x+3|-2 ... shift down 2

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