Below are the graphs of f and g. Find a formula for the function g.
Based from the graph, the graph for the function g can be obtained by shifting the graph of f(x)=x2 two units to the right, then reflect about x-axis and then the result is shifted one unit upward. Thus,
a(x)=(x−2)2shifting two units to the rightb(x)=−(x−2)2reflecting about x-axisg(x)=1−(x−2)2shift 1 unit upward
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