Please help 15 pointsWhat transformations change the graph of fix) to the graph of g(x)? fx=x^2;g(x)=(x+7)^2+9A. The graph of g(x) is the graph of f(x) translated down 7 units and to the right 9 units.B. The graph of g(x) is the graph of f(x) translated up 7 units and to the left 9 units.C. The graph of g(x) is the graph of f(x) translated to the right 7 units and down 9 units.D. The graph of g(x) is the graph of fix) translated to the left 7 units and up 9 units.
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Answer: D. The graph of g(x) is the graph of fix) translated to the left 7 units and up 9 unitsStep-by-step explanation:The transformation of f(x) to g(x) ... g(x) = a·f(b·x -c) +dinvolves ...vertical expansion by a factor of "a"horizontal compression by a factor of "b"translation to the right by "c" unitstranslation up by "d" unitsHere, you have a=b=1, c=-7, d=9, so the graph of f is translated left 7 units and up 9 units to make the graph of g.