sandy8866
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Please help 15 points

What transformations change the graph of fix) to the graph of g(x)?
fx=x^2;g(x)=(x+7)^2+9



A. 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.

Respuesta :

sqdancefan

Answer:

  D. The graph of g(x) is the graph of fix) translated to the left 7 units and up 9 units

Step-by-step explanation:

The transformation of f(x) to g(x) ...

  g(x) = a·f(b·x -c) +d

involves ...

  • vertical expansion by a factor of "a"
  • horizontal compression by a factor of "b"
  • translation to the right by "c" units
  • translation up by "d" units

Here, 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.

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