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9. What transformations change the graph of ff) to the graph of g(x)? (1 point)
f(x) = x²
g(x) = (x+3)2 - 7
The graph of g is the graph off translated to the right 3 units and up 7 units.
O The graph of g is the graph off translated to the left 3 units and down 7 units.
O The graph of g is the graph off translated up 3 units and to the left 7 units.
O The graph of g is the graph off translated down 3 units and to the right 7 units.
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Using shifting concepts, it is found that the correct option is:

The graph of g is the graph off translated to the left 3 units and down 7 units.

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  • Shifting a function f(x) a units to the left is the same as finding f(x + a).
  • Shifting a function f(x) b units down is the the same as finding f(x) - b.
  • The parent function is [tex]f(x) = x^2[/tex], while the modified function is [tex]g(x) = (x+3)^2 - 7[/tex].
  • [tex]x \rightarrow x + 3[/tex] means that it was shifted 3 units to the left.
  • Subtraction by 7 means that it was shifted down 7 units.

Thus, the correct option is:

The graph of g is the graph off translated to the left 3 units and down 7 units.

A similar problem is given at https://brainly.com/question/18405655

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